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232220535454012 = 227192916333921563
BaseRepresentation
bin110100110011010000001110…
…100001100111100100111100
31010110020001210101112111120211
4310303100032201213210330
5220414200124034012022
62141520350301522204
766625244230652320
oct6463201641474474
91113201711474524
10232220535454012
1167aa11a3317986
1222065a8b573364
139c763c1875981
14414b768dab980
151bca8c8053e77
hexd3340e86793c

232220535454012 has 96 divisors (see below), whose sum is σ = 505774966233600. Its totient is φ = 91028149132032.

The previous prime is 232220535454007. The next prime is 232220535454027. The reversal of 232220535454012 is 210454535022232.

It is a super-2 number, since 2×2322205354540122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251524743 + ... + 252446305.

It is an arithmetic number, because the mean of its divisors is an integer number (5268489231600).

Almost surely, 2232220535454012 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 232220535454012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252887483116800).

232220535454012 is an abundant number, since it is smaller than the sum of its proper divisors (273554430779588).

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

232220535454012 is a wasteful number, since it uses less digits than its factorization.

232220535454012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937955 (or 937953 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 232220535454012 in words is "two hundred thirty-two trillion, two hundred twenty billion, five hundred thirty-five million, four hundred fifty-four thousand, twelve".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 406 532 551 812 1102 2204 3857 7714 15428 16333 32666 65332 114331 228662 310327 457324 473657 620654 921563 947314 1241308 1843126 1894628 2172289 3315599 3686252 4344578 6450941 6631198 8689156 8999483 12901882 13262396 17509697 17998966 25803764 26725327 35019394 35997932 53450654 62996381 70038788 106901308 122567879 125992762 187077289 245135758 251985524 374154578 490271516 507781213 748309156 1015562426 2031124852 3554468491 7108936982 14217873964 15051888479 30103776958 60207553916 105363219353 210726438706 285985881101 421452877412 436504765891 571971762202 873009531782 1143943524404 1746019063564 2001901167707 3055533361237 4003802335414 6111066722474 8007604670828 8293590551929 12222133444948 16587181103858 33174362207716 58055133863503 116110267727006 232220535454012