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232239042 = 23373119819
BaseRepresentation
bin11011101011110…
…10111111000010
3121011222222002000
431311322333002
5433423122132
635013404430
75516666520
oct1565727702
9534888060
10232239042
1110a1026a2
1265939716
1339164469
1422bb5310
15155c687c
hexdd7afc2

232239042 has 64 divisors (see below), whose sum is σ = 608870400. Its totient is φ = 64210320.

The previous prime is 232239037. The next prime is 232239067. The reversal of 232239042 is 240932232.

232239042 is a `hidden beast` number, since 232 + 2 + 390 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232238997 and 232239015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1809 + ... + 21627.

It is an arithmetic number, because the mean of its divisors is an integer number (9513600).

Almost surely, 2232239042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232239042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304435200).

232239042 is an abundant number, since it is smaller than the sum of its proper divisors (376631358).

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

232239042 is a wasteful number, since it uses less digits than its factorization.

232239042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19868 (or 19862 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 232239042 is about 15239.3911295694. The cubic root of 232239042 is about 614.6743308464.

The spelling of 232239042 in words is "two hundred thirty-two million, two hundred thirty-nine thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 19819 39638 59457 118914 138733 178371 277466 356742 416199 535113 614389 832398 1070226 1228778 1248597 1843167 2497194 3686334 3745791 4300723 5529501 7491582 8601446 11059002 12902169 16588503 25804338 33177006 38706507 77413014 116119521 232239042