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230431032 = 233213246187
BaseRepresentation
bin11011011110000…
…01100100111000
3121001121002221200
431233001210320
5432442243112
634510534200
75465426406
oct1557014470
9531532850
10230431032
11109088277
1265207360
1338980530
1422864476
151536acdc
hexdbc1938

230431032 has 48 divisors (see below), whose sum is σ = 672093240. Its totient is φ = 70901568.

The previous prime is 230431007. The next prime is 230431051. The reversal of 230431032 is 230134032.

230431032 is a `hidden beast` number, since 230 + 431 + 0 + 3 + 2 = 666.

230431032 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230430996 and 230431014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122158 + ... + 124029.

Almost surely, 2230431032 is an apocalyptic number.

It is an amenable number.

230431032 is an abundant number, since it is smaller than the sum of its proper divisors (441662208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230431032 is a wasteful number, since it uses less digits than its factorization.

230431032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246212 (or 246205 counting only the distinct ones).

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

The square root of 230431032 is about 15179.9549406446. The cubic root of 230431032 is about 613.0750679597.

Adding to 230431032 its reverse (230134032), we get a palindrome (460565064).

The spelling of 230431032 in words is "two hundred thirty million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 246187 492374 738561 984748 1477122 1969496 2215683 2954244 3200431 4431366 5908488 6400862 8862732 9601293 12801724 17725464 19202586 25603448 28803879 38405172 57607758 76810344 115215516 230431032