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231222323222132 = 221124312356347041
BaseRepresentation
bin110100100100101110100100…
…011100001001011001110100
31010022200122020021010002220212
4310210232210130021121310
5220301321304221102012
62135434022513244552
766463155501664244
oct6444564434113164
91108618207102825
10231222323222132
1167746922561700
1221b24528263758
139c0322caa67b8
144115312175b24
151bae95372bb22
hexd24ba4709674

231222323222132 has 72 divisors (see below), whose sum is σ = 445828902132096. Its totient is φ = 104850523008000.

The previous prime is 231222323222131. The next prime is 231222323222167.

231222323222132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2312223232221322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231222323222131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4915312532 + ... + 4915359572.

It is an arithmetic number, because the mean of its divisors is an integer number (6192068085168).

Almost surely, 2231222323222132 is an apocalyptic number.

231222323222132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231222323222132 is a deficient number, since it is larger than the sum of its proper divisors (214606578909964).

231222323222132 is a wasteful number, since it uses less digits than its factorization.

231222323222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71061 (or 71048 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The spelling of 231222323222132 in words is "two hundred thirty-one trillion, two hundred twenty-two billion, three hundred twenty-three million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 121 242 431 484 862 1724 4741 9482 18964 23563 47041 47126 52151 94082 94252 104302 188164 208604 259193 517451 518386 1034902 1036772 2069804 2851123 5691961 5702246 10155653 11383922 11404492 20274671 20311306 22767844 40549342 40622612 81098684 111712183 223021381 223424366 446042762 446848732 892085524 1108427083 1228834013 2216854166 2453235191 2457668026 4433708332 4906470382 4915336052 9812940764 12192697913 24385395826 48770791652 134119677043 268239354086 477732072773 536478708172 955464145546 1910928291092 5255052800503 10510105601006 21020211202012 57805580805533 115611161611066 231222323222132