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232923288481 = 13371934016257
BaseRepresentation
bin1101100011101101001…
…1110101001110100001
3211021012211021000210021
43120323103311032201
512304011330212411
6255000430233441
722554025166542
oct3307323651641
9737184230707
10232923288481
118a867140124
1239185655881
1318c7021a170
14b3b88844c9
1560d3a3ca71
hex363b4f53a1

232923288481 has 32 divisors (see below), whose sum is σ = 259642016928. Its totient is φ = 207559065600.

The previous prime is 232923288443. The next prime is 232923288511. The reversal of 232923288481 is 184882329232.

It can be written as a sum of positive squares in 16 ways, for example, as 8223587856 + 224699700625 = 90684^2 + 474025^2 .

It is a cyclic number.

It is not a de Polignac number, because 232923288481 - 221 = 232921191329 is a prime.

It is a super-2 number, since 2×2329232884812 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232923288401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37222905 + ... + 37229161.

It is an arithmetic number, because the mean of its divisors is an integer number (8113813029).

Almost surely, 2232923288481 is an apocalyptic number.

It is an amenable number.

232923288481 is a deficient number, since it is larger than the sum of its proper divisors (26718728447).

232923288481 is a wasteful number, since it uses less digits than its factorization.

232923288481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901.

The product of its digits is 2654208, while the sum is 52.

The spelling of 232923288481 in words is "two hundred thirty-two billion, nine hundred twenty-three million, two hundred eighty-eight thousand, four hundred eighty-one".

Divisors: 1 13 37 193 401 481 2509 5213 6257 7141 14837 77393 81341 92833 192881 231509 1006109 1207601 2509057 2863541 3009617 15698813 32617741 37226033 44681237 92835109 484248001 580856081 1206856417 6295224013 17917176037 232923288481