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232971921 = 32721340637
BaseRepresentation
bin11011110001011…
…01111010010001
3121020101012101200
431320231322101
5434120100141
635041221413
75526141300
oct1570557221
9536335350
10232971921
1110a563286
1266031869
133935cc10
1422d26437
15156bdab6
hexde2de91

232971921 has 36 divisors (see below), whose sum is σ = 421578612. Its totient is φ = 122883264.

The previous prime is 232971917. The next prime is 232971989. The reversal of 232971921 is 129179232.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 221682321 = 3360^2 + 14889^2 .

It is not a de Polignac number, because 232971921 - 22 = 232971917 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232971911) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14586 + ... + 26051.

It is an arithmetic number, because the mean of its divisors is an integer number (11710517).

Almost surely, 2232971921 is an apocalyptic number.

232971921 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232971921 is a deficient number, since it is larger than the sum of its proper divisors (188606691).

232971921 is a wasteful number, since it uses less digits than its factorization.

232971921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40670 (or 40660 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 232971921 is about 15263.4177365359. The cubic root of 232971921 is about 615.3202298171.

The spelling of 232971921 in words is "two hundred thirty-two million, nine hundred seventy-one thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 40637 121911 284459 365733 528281 853377 1584843 1991213 2560131 3697967 4754529 5973639 11093901 17920917 25885769 33281703 77657307 232971921