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232332021 = 3229890161
BaseRepresentation
bin11011101100100…
…01101011110101
3121012011200121200
431312101223311
5433434111041
635015403113
75520534555
oct1566215365
9535150550
10232332021
1110a166539
1265983499
133919788c
1422bdb165
15155e41b6
hexdd91af5

232332021 has 12 divisors (see below), whose sum is σ = 347163180. Its totient is φ = 149546880.

The previous prime is 232332007. The next prime is 232332031. The reversal of 232332021 is 120233232.

It is a happy number.

232332021 is a `hidden beast` number, since 2 + 323 + 320 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 185340996 + 46991025 = 13614^2 + 6855^2 .

It is a de Polignac number, because none of the positive numbers 2k-232332021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232331985 and 232332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232332031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444820 + ... + 445341.

It is an arithmetic number, because the mean of its divisors is an integer number (28930265).

Almost surely, 2232332021 is an apocalyptic number.

It is an amenable number.

232332021 is a deficient number, since it is larger than the sum of its proper divisors (114831159).

232332021 is a wasteful number, since it uses less digits than its factorization.

232332021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890196 (or 890193 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 232332021 is about 15242.4414382998. The cubic root of 232332021 is about 614.7563500434.

Adding to 232332021 its reverse (120233232), we get a palindrome (352565253).

The spelling of 232332021 in words is "two hundred thirty-two million, three hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 29 87 261 890161 2670483 8011449 25814669 77444007 232332021