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222113122129984 = 26172948623144779
BaseRepresentation
bin110010100000001010111101…
…101111101001100001000000
31002010102210210101012000202011
4302200022331233221201000
5213103100133231124414
62104221205404302304
764533100140152641
oct6240127557514100
91063383711160664
10222113122129984
1164854711a68798
1220ab3017241994
1396c22400a9967
143cbc49242d6c8
151aa2a13165dc4
hexca02bdbe9840

222113122129984 has 112 divisors (see below), whose sum is σ = 482788298937600. Its totient is φ = 100916779851776.

The previous prime is 222113122129981. The next prime is 222113122129991. The reversal of 222113122129984 is 489921221311222.

It is not an unprimeable number, because it can be changed into a prime (222113122129981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534080507 + ... + 1534225285.

Almost surely, 2222113122129984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222113122129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241394149468800).

222113122129984 is an abundant number, since it is smaller than the sum of its proper divisors (260675176807616).

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

222113122129984 is a wasteful number, since it uses less digits than its factorization.

222113122129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193460 (or 193450 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The spelling of 222113122129984 in words is "two hundred twenty-two trillion, one hundred thirteen billion, one hundred twenty-two million, one hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 928 986 1088 1856 1972 3944 7888 15776 31552 48623 97246 144779 194492 289558 388984 579116 777968 826591 1158232 1410067 1555936 1653182 2316464 2461243 2820134 3111872 3306364 4198591 4632928 4922486 5640268 6612728 8397182 9265856 9844972 11280536 13225456 16794364 19689944 22561072 23971139 26450912 33588728 39379888 45122144 47942278 52901824 67177456 71376047 78759776 90244288 95884556 134354912 142752094 157519552 191769112 268709824 285504188 383538224 571008376 767076448 1142016752 1534152896 2284033504 4568067008 7039589317 14079178634 28158357268 56316714536 112633429072 119673018389 204148090193 225266858144 239346036778 408296180386 450533716288 478692073556 816592360772 957384147112 1633184721544 1914768294224 3266369443088 3470517533281 3829536588448 6532738886176 6941035066562 7659073176896 13065477772352 13882070133124 27764140266248 55528280532496 111056561064992 222113122129984