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231892272 = 243211314251
BaseRepresentation
bin11011101001001…
…10010100110000
3121011100100101200
431310212110300
5433331023042
635002131200
75514023523
oct1564462460
9534310350
10231892272
11109996107
12657b0b00
1339072681
1422b24bba
1515558c4c
hexdd26530

231892272 has 60 divisors (see below), whose sum is σ = 654765384. Its totient is φ = 76608000.

The previous prime is 231892267. The next prime is 231892301. The reversal of 231892272 is 272298132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9147 + ... + 23397.

Almost surely, 2231892272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231892272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327382692).

231892272 is an abundant number, since it is smaller than the sum of its proper divisors (422873112).

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

231892272 is a wasteful number, since it uses less digits than its factorization.

231892272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14378 (or 14369 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 231892272 is about 15228.0094562618. The cubic root of 231892272 is about 614.3682427840.

The spelling of 231892272 in words is "two hundred thirty-one million, eight hundred ninety-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 14251 16272 28502 42753 57004 85506 114008 128259 171012 228016 256518 342024 513036 684048 1026072 1610363 2052144 3220726 4831089 6441452 9662178 12882904 14493267 19324356 25765808 28986534 38648712 57973068 77297424 115946136 231892272