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232014042 = 232134991987
BaseRepresentation
bin11011101010001…
…00000011011010
3121011120112102200
431311010003122
5433343422132
635004511030
75515041531
oct1565040332
9534515380
10232014042
11109a69647
126584b476
13390b5c20
1422b57318
151557ed7c
hexdd440da

232014042 has 48 divisors (see below), whose sum is σ = 542724000. Its totient is φ = 71210016.

The previous prime is 232014031. The next prime is 232014059. The reversal of 232014042 is 240410232.

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

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 23 ways as a sum of consecutive naturals, for example, 115773 + ... + 117759.

It is an arithmetic number, because the mean of its divisors is an integer number (11306750).

Almost surely, 2232014042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232014042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271362000).

232014042 is an abundant number, since it is smaller than the sum of its proper divisors (310709958).

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

232014042 is a wasteful number, since it uses less digits than its factorization.

232014042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 232014042 is about 15232.0071559857. The cubic root of 232014042 is about 614.4757618620.

Adding to 232014042 its reverse (240410232), we get a palindrome (472424274).

The spelling of 232014042 in words is "two hundred thirty-two million, fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 499 998 1497 1987 2994 3974 4491 5961 6487 8982 11922 12974 17883 19461 25831 35766 38922 51662 58383 77493 116766 154986 232479 464958 991513 1983026 2974539 5949078 8923617 12889669 17847234 25779338 38669007 77338014 116007021 232014042