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231972939 = 321117337409
BaseRepresentation
bin11011101001110…
…10000001001011
3121011111110001100
431310322001023
5433341113224
635003552443
75514510642
oct1564720113
9534443040
10231972939
11109a40780
126582b723
13390a02c3
1422b46359
1515572ac9
hexdd3a04b

231972939 has 48 divisors (see below), whose sum is σ = 389132640. Its totient is φ = 131604480.

The previous prime is 231972931. The next prime is 231972959. The reversal of 231972939 is 939279132.

It is a happy number.

231972939 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231972939 - 23 = 231972931 is a prime.

It is a super-2 number, since 2×2319729392 = 107622888856595442, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231972894 and 231972903.

It is not an unprimeable number, because it can be changed into a prime (231972931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566967 + ... + 567375.

It is an arithmetic number, because the mean of its divisors is an integer number (8106930).

Almost surely, 2231972939 is an apocalyptic number.

231972939 is a deficient number, since it is larger than the sum of its proper divisors (157159701).

231972939 is a wasteful number, since it uses less digits than its factorization.

231972939 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 777 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 231972939 is about 15230.6578649775. The cubic root of 231972939 is about 614.4394734135.

The spelling of 231972939 in words is "two hundred thirty-one million, nine hundred seventy-two thousand, nine hundred thirty-nine".

Divisors: 1 3 9 11 17 33 51 99 153 187 337 409 561 1011 1227 1683 3033 3681 3707 4499 5729 6953 11121 13497 17187 20859 33363 40491 51561 62577 63019 76483 137833 189057 229449 413499 567171 688347 1240497 1516163 2343161 4548489 7029483 13645467 21088449 25774771 77324313 231972939