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252313122222 = 232717119398737
BaseRepresentation
bin1110101011111100001…
…0001011010110101110
3220010021010122122021200
43222333002023112232
513113214124402342
6311524441510330
724141361103220
oct3527702132656
9803233578250
10252313122222
11980071a8207
1240a971a23a6
131aa40379a75
14c2d7ad8410
15686ae2d94c
hex3abf08b5ae

252313122222 has 96 divisors (see below), whose sum is σ = 662088053952. Its totient is φ = 67791347712.

The previous prime is 252313122221. The next prime is 252313122253. The reversal of 252313122222 is 222221313252.

252313122222 is a `hidden beast` number, since 2 + 5 + 2 + 313 + 122 + 222 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252313122221) 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, 2506038 + ... + 2604774.

It is an arithmetic number, because the mean of its divisors is an integer number (6896750562).

Almost surely, 2252313122222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252313122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331044026976).

252313122222 is an abundant number, since it is smaller than the sum of its proper divisors (409774931730).

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

252313122222 is a wasteful number, since it uses less digits than its factorization.

252313122222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99962 (or 99959 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 252313122222 its reverse (222221313252), we get a palindrome (474534435474).

The spelling of 252313122222 in words is "two hundred fifty-two billion, three hundred thirteen million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 1193 2142 2386 3579 7158 8351 10737 16702 20281 21474 25053 40562 50106 60843 75159 98737 121686 141967 150318 182529 197474 283934 296211 365058 425901 592422 691159 851802 888633 1277703 1382318 1678529 1777266 2073477 2555406 3357058 4146954 5035587 6220431 10071174 11749703 12440862 15106761 23499406 30213522 35249109 70498218 105747327 117793241 211494654 235586482 353379723 706759446 824552687 1060139169 1649105374 2002485097 2120278338 2473658061 4004970194 4947316122 6007455291 7420974183 12014910582 14017395679 14841948366 18022365873 28034791358 36044731746 42052187037 84104374074 126156561111 252313122222