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22410021440 = 265293536841
BaseRepresentation
bin10100110111101111…
…011100101001000000
32010211210102001011002
4110313233130221000
5331343431141230
614143420311132
71422225016322
oct246757345100
963753361132
1022410021440
11955a966884
1244150a24a8
132161a91b21
1411283d3612
158b2621545
hex537bdca40

22410021440 has 112 divisors (see below), whose sum is σ = 55368474480. Its totient is φ = 8629125120.

The previous prime is 22410021437. The next prime is 22410021451. The reversal of 22410021440 is 4412001422.

It can be written as a sum of positive squares in 8 ways, for example, as 20286016 + 22389735424 = 4504^2 + 149632^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3272420 + ... + 3279260.

Almost surely, 222410021440 is an apocalyptic number.

22410021440 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 22410021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27684237240).

22410021440 is an abundant number, since it is smaller than the sum of its proper divisors (32958453040).

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

22410021440 is a wasteful number, since it uses less digits than its factorization.

22410021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22410021440 its reverse (4412001422), we get a palindrome (26822022862).

The spelling of 22410021440 in words is "twenty-two billion, four hundred ten million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 353 464 580 706 928 1160 1412 1765 1856 2320 2824 3530 4640 5648 6841 7060 9280 10237 11296 13682 14120 20474 22592 27364 28240 34205 40948 51185 54728 56480 68410 81896 102370 109456 112960 136820 163792 198389 204740 218912 273640 327584 396778 409480 437824 547280 655168 793556 818960 991945 1094560 1587112 1637920 1983890 2189120 2414873 3174224 3275840 3967780 4829746 6348448 7935560 9659492 12074365 12696896 15871120 19318984 24148730 31742240 38637968 48297460 63484480 70031317 77275936 96594920 140062634 154551872 193189840 280125268 350156585 386379680 560250536 700313170 772759360 1120501072 1400626340 2241002144 2801252680 4482004288 5602505360 11205010720 22410021440