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230132997 = 32192695003
BaseRepresentation
bin11011011011110…
…00110100000101
3121001000222010100
431231320310011
5432403223442
634500314313
75463045453
oct1555706405
9531028110
10230132997
111089a4366
12650a2999
13388a7993
14227c79d3
151530c84c
hexdb78d05

230132997 has 24 divisors (see below), whose sum is σ = 351280800. Its totient is φ = 144777888.

The previous prime is 230132989. The next prime is 230132999. The reversal of 230132997 is 799231032.

It is not a de Polignac number, because 230132997 - 23 = 230132989 is a prime.

It is a super-3 number, since 3×2301329973 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230132999) 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, 43498 + ... + 48500.

It is an arithmetic number, because the mean of its divisors is an integer number (14636700).

Almost surely, 2230132997 is an apocalyptic number.

It is an amenable number.

230132997 is a deficient number, since it is larger than the sum of its proper divisors (121147803).

230132997 is a wasteful number, since it uses less digits than its factorization.

230132997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 230132997 is about 15170.1350356548. The cubic root of 230132997 is about 612.8106408156.

The spelling of 230132997 in words is "two hundred thirty million, one hundred thirty-two thousand, nine hundred ninety-seven".

Divisors: 1 3 9 19 57 171 269 807 2421 5003 5111 15009 15333 45027 45999 95057 285171 855513 1345807 4037421 12112263 25570333 76710999 230132997