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22010201220222 = 236313228721089
BaseRepresentation
bin1010000000100101001100…
…01110011010010001111110
32212221011011202201001000000
411000102212032122101332
510341103343003021342
6114451202530415130
74431120206330535
oct500224616322176
985834152631000
1022010201220222
117016523869636
122575883a314a6
13c38726129097
1456142988d31c
1528280871c44c
hex1404a639a47e

22010201220222 has 112 divisors (see below), whose sum is σ = 49682525555520. Its totient is φ = 7309749298176.

The previous prime is 22010201220157. The next prime is 22010201220253. The reversal of 22010201220222 is 22202210201022.

22010201220222 is a `hidden beast` number, since 2 + 20 + 1 + 0 + 201 + 220 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22010201220195 and 22010201220204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1043671054 + ... + 1043692142.

Almost surely, 222010201220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010201220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24841262777760).

22010201220222 is an abundant number, since it is smaller than the sum of its proper divisors (27672324335298).

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

22010201220222 is a wasteful number, since it uses less digits than its factorization.

22010201220222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23709 (or 23694 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22010201220222 its reverse (22202210201022), we get a palindrome (44212411421244).

The spelling of 22010201220222 in words is "twenty-two trillion, ten billion, two hundred one million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 313 486 626 729 939 1458 1878 2287 2817 4574 5634 6861 8451 13722 16902 20583 21089 25353 41166 42178 50706 61749 63267 76059 123498 126534 152118 185247 189801 228177 370494 379602 456354 555741 569403 715831 1111482 1138806 1431662 1667223 1708209 2147493 3334446 3416418 4294986 5124627 6442479 6600857 10249254 12884958 13201714 15373881 19327437 19802571 30747762 38654874 39605142 48230543 57982311 59407713 96461086 115964622 118815426 144691629 173946933 178223139 289383258 347893866 356446278 434074887 521840799 534669417 868149774 1043681598 1069338834 1302224661 1604008251 2604449322 3208016502 3906673983 4812024753 7813347966 9624049506 11720021949 15096159959 23440043898 30192319918 35160065847 45288479877 70320131694 90576959754 135865439631 271730879262 407596318893 815192637786 1222788956679 2445577913358 3668366870037 7336733740074 11005100610111 22010201220222