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232532001 = 32132172232
BaseRepresentation
bin11011101110000…
…10100000100001
3121012112211221100
431313002200201
5434012011001
635023545013
75522326602
oct1567024041
9535484840
10232532001
1110a292809
1265a5b169
1339237900
1422c4dda9
1515633586
hexddc2821

232532001 has 81 divisors (see below), whose sum is σ = 403885209. Its totient is φ = 128823552.

The previous prime is 232531993. The next prime is 232532057. The reversal of 232532001 is 100235232.

The square root of 232532001 is 15249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2099601 + 230432400 = 1449^2 + 15180^2 .

It is not a de Polignac number, because 232532001 - 23 = 232531993 is a prime.

It is a super-2 number, since 2×2325320012 = 108142262978128002, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (232532071) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10110076 + ... + 10110098.

Almost surely, 2232532001 is an apocalyptic number.

232532001 is the 15249-th square number.

232532001 is the 7625-th centered octagonal number.

It is an amenable number.

232532001 is a deficient number, since it is larger than the sum of its proper divisors (171353208).

232532001 is a wasteful number, since it uses less digits than its factorization.

232532001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The cubic root of 232532001 is about 614.9326834906.

Adding to 232532001 its reverse (100235232), we get a palindrome (332767233).

The spelling of 232532001 in words is "two hundred thirty-two million, five hundred thirty-two thousand, one".

Divisors: 1 3 9 13 17 23 39 51 69 117 153 169 207 221 289 299 391 507 529 663 867 897 1173 1521 1587 1989 2601 2691 2873 3519 3757 3887 4761 5083 6647 6877 8619 8993 11271 11661 15249 19941 20631 25857 26979 33813 34983 45747 48841 59823 61893 66079 80937 86411 89401 116909 146523 152881 198237 259233 268203 350727 439569 458643 594711 777699 804609 1052181 1123343 1375929 1519817 1987453 3370029 4559451 5962359 10110087 13678353 17887077 25836889 77510667 232532001