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232053345 = 32553149653
BaseRepresentation
bin11011101010011…
…01101001100001
3121011122112100100
431311031221201
5433401201340
635005413013
75515264236
oct1565155141
9534575310
10232053345
11109a96127
126586a169
13390caa94
1422b6778d
151558b830
hexdd4da61

232053345 has 48 divisors (see below), whose sum is σ = 413197200. Its totient is φ = 120427008.

The previous prime is 232053343. The next prime is 232053401. The reversal of 232053345 is 543350232.

232053345 is a `hidden beast` number, since 2 + 320 + 5 + 334 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22353984 + 209699361 = 4728^2 + 14481^2 .

It is not a de Polignac number, because 232053345 - 21 = 232053343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232053343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355039 + ... + 355691.

It is an arithmetic number, because the mean of its divisors is an integer number (8608275).

Almost surely, 2232053345 is an apocalyptic number.

It is an amenable number.

232053345 is a deficient number, since it is larger than the sum of its proper divisors (181143855).

232053345 is a wasteful number, since it uses less digits than its factorization.

232053345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 232053345 is about 15233.2972464926. The cubic root of 232053345 is about 614.5104571432.

The spelling of 232053345 in words is "two hundred thirty-two million, fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 53 149 159 265 447 477 653 745 795 1341 1959 2235 2385 3265 5877 6705 7897 9795 23691 29385 34609 39485 71073 97297 103827 118455 173045 291891 311481 355365 486485 519135 875673 1459455 1557405 4378365 5156741 15470223 25783705 46410669 77351115 232053345