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232448144 = 24122911821
BaseRepresentation
bin11011101101011…
…10000010010000
3121012101120220112
431312232002100
5434001320034
635022100452
75521530245
oct1566560220
9535346815
10232448144
1110a235805
1265a1a728
13392086a6
1422c2b5cc
15156187ce
hexddae090

232448144 has 20 divisors (see below), whose sum is σ = 450772860. Its totient is φ = 116119680.

The previous prime is 232448129. The next prime is 232448201. The reversal of 232448144 is 441844232.

It can be written as a sum of positive squares in 2 ways, for example, as 146700544 + 85747600 = 12112^2 + 9260^2 .

It is a super-3 number, since 3×2324481443 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232448144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13754 + ... + 25574.

It is an arithmetic number, because the mean of its divisors is an integer number (22538643).

Almost surely, 2232448144 is an apocalyptic number.

It is an amenable number.

232448144 is a deficient number, since it is larger than the sum of its proper divisors (218324716).

232448144 is a wasteful number, since it uses less digits than its factorization.

232448144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13058 (or 13052 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

The square root of 232448144 is about 15246.2501619251. The cubic root of 232448144 is about 614.8587544403.

The spelling of 232448144 in words is "two hundred thirty-two million, four hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 1229 2458 4916 9832 11821 19664 23642 47284 94568 189136 14528009 29056018 58112036 116224072 232448144