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222541033043420 = 225721390591928237
BaseRepresentation
bin110010100110011001011111…
…001110001111010111011100
31002011221201022020001201002122
4302212121133032033113130
5213132103013424342140
62105145534512242112
764606026154001300
oct6246313716172734
91064851266051078
10222541033043420
11649aa13857a4a3
1220b61b39840338
1397236b60437a0
143cd50873d1d00
151aadc0a079ab5
hexca665f38f5dc

222541033043420 has 144 divisors (see below), whose sum is σ = 585519032760480. Its totient is φ = 70422757526016.

The previous prime is 222541033043383. The next prime is 222541033043429. The reversal of 222541033043420 is 24340330145222.

It is a super-2 number, since 2×2225410330434202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222541033043429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114447542 + ... + 116375778.

It is an arithmetic number, because the mean of its divisors is an integer number (4066104394170).

Almost surely, 2222541033043420 is an apocalyptic number.

222541033043420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222541033043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292759516380240).

222541033043420 is an abundant number, since it is smaller than the sum of its proper divisors (362977999717060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222541033043420 is a wasteful number, since it uses less digits than its factorization.

222541033043420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937332 (or 1937323 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 222541033043420 its reverse (24340330145222), we get a palindrome (246881363188642).

The spelling of 222541033043420 in words is "two hundred twenty-two trillion, five hundred forty-one billion, thirty-three million, forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 9059 12740 18118 36236 45295 63413 90590 117767 126826 181180 235534 253652 317065 443891 471068 588835 634130 824369 887782 1177670 1268260 1648738 1775564 1928237 2219455 2355340 3297476 3856474 4121845 4438910 5770583 7712948 8243690 8877820 9641185 11541166 13497659 16487380 19282370 23082332 25067081 26995318 28852915 38564740 50134162 53990636 57705830 67488295 94483613 100268324 115411660 125335405 134976590 175469567 188967226 250670810 269953180 350939134 377934452 472418065 501341620 701878268 877347835 944836130 1228286969 1754695670 1889672260 2456573938 3509391340 4913147876 6141434845 12282869690 17467898983 24565739380 34935797966 69871595932 87339494915 122275292881 174678989830 227082686779 244550585762 349357979660 454165373558 489101171524 611376464405 855927050167 908330747116 1135413433895 1222752928810 1589578807453 1711854100334 2270826867790 2445505857620 3179157614906 3423708200668 4279635250835 4541653735580 6358315229812 7947894037265 8559270501670 11127051652171 15895788074530 17118541003340 22254103304342 31791576149060 44508206608684 55635258260855 111270516521710 222541033043420