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231153345 = 3452919681
BaseRepresentation
bin11011100011100…
…01111011000001
3121002221210210000
431301301323001
5433133401340
634534230213
75504525313
oct1561617301
9532853700
10231153345
11109530a25
12654b5369
1338b74237
14229b17b3
151545ed30
hexdc71ec1

231153345 has 40 divisors (see below), whose sum is σ = 428673960. Its totient is φ = 119024640.

The previous prime is 231153341. The next prime is 231153353. The reversal of 231153345 is 543351132.

231153345 is a `hidden beast` number, since 2 + 311 + 5 + 3 + 345 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87441201 + 143712144 = 9351^2 + 11988^2 .

It is not a de Polignac number, because 231153345 - 22 = 231153341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (231153341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1905 + ... + 21585.

It is an arithmetic number, because the mean of its divisors is an integer number (10716849).

Almost surely, 2231153345 is an apocalyptic number.

It is an amenable number.

231153345 is a deficient number, since it is larger than the sum of its proper divisors (197520615).

231153345 is a wasteful number, since it uses less digits than its factorization.

231153345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19727 (or 19718 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 231153345 is about 15203.7279967776. The cubic root of 231153345 is about 613.7149849432.

The spelling of 231153345 in words is "two hundred thirty-one million, one hundred fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 261 405 435 783 1305 2349 3915 11745 19681 59043 98405 177129 295215 531387 570749 885645 1594161 1712247 2656935 2853745 5136741 7970805 8561235 15410223 25683705 46230669 77051115 231153345