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222031222320132 = 223210136088384949
BaseRepresentation
bin110010011110111110101100…
…001000101010110000000100
31002010010222101122020121120100
4302132332230020222300010
5213100224420403221012
62104115422503204100
764524140446233051
oct6236765410526004
91063128348217510
10222031222320132
1164822a04726425
1220a9b17b146630
1396b75ba4a9a04
143cb852323a028
151aa081cec58dc
hexc9efac22ac04

222031222320132 has 36 divisors (see below), whose sum is σ = 561799632876300. Its totient is φ = 73937346808512.

The previous prime is 222031222320079. The next prime is 222031222320181. The reversal of 222031222320132 is 231023222130222.

222031222320132 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 312 + 22 + 320 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83984137889796 + 138047084430336 = 9164286^2 + 11749344^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 222031222320096 and 222031222320105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3044156007 + ... + 3044228942.

It is an arithmetic number, because the mean of its divisors is an integer number (15605545357675).

Almost surely, 2222031222320132 is an apocalyptic number.

It is an amenable number.

222031222320132 is an abundant number, since it is smaller than the sum of its proper divisors (339768410556168).

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

222031222320132 is a wasteful number, since it uses less digits than its factorization.

222031222320132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088385972 (or 6088385967 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 222031222320132 its reverse (231023222130222), we get a palindrome (453054444450354).

The spelling of 222031222320132 in words is "two hundred twenty-two trillion, thirty-one billion, two hundred twenty-two million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1013 2026 3039 4052 6078 9117 12156 18234 36468 6088384949 12176769898 18265154847 24353539796 36530309694 54795464541 73060619388 109590929082 219181858164 6167533953337 12335067906674 18502601860011 24670135813348 37005203720022 55507805580033 74010407440044 111015611160066 222031222320132