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233823897 = 32294332069
BaseRepresentation
bin11011110111111…
…01111010011001
3121021222111002100
431323331322121
5434324331042
635111354013
75536320216
oct1573757231
9537874070
10233823897
1110aa9539a
1266382909
133959a948
14230a8b0d
15157db24c
hexdefde99

233823897 has 24 divisors (see below), whose sum is σ = 350368200. Its totient is φ = 150087168.

The previous prime is 233823893. The next prime is 233823907. The reversal of 233823897 is 798328332.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 233814681 = 96^2 + 15291^2 .

It is not a de Polignac number, because 233823897 - 22 = 233823893 is a prime.

It is a super-2 number, since 2×2338238972 = 109347229616533218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233823893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111979 + ... + 114047.

It is an arithmetic number, because the mean of its divisors is an integer number (14598675).

Almost surely, 2233823897 is an apocalyptic number.

It is an amenable number.

233823897 is a deficient number, since it is larger than the sum of its proper divisors (116544303).

233823897 is a wasteful number, since it uses less digits than its factorization.

233823897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2534 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 233823897 is about 15291.3013507680. The cubic root of 233823897 is about 616.0693906552.

The spelling of 233823897 in words is "two hundred thirty-three million, eight hundred twenty-three thousand, eight hundred ninety-seven".

Divisors: 1 3 9 29 87 261 433 1299 2069 3897 6207 12557 18621 37671 60001 113013 180003 540009 895877 2687631 8062893 25980433 77941299 233823897