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232001364 = 223719913879
BaseRepresentation
bin11011101010000…
…00111101010100
3121011112220001010
431311000331110
5433343020424
635004332220
75514656550
oct1565007524
9534486033
10232001364
11109a60071
1265844070
13390b021a
1422b52860
151557b229
hexdd40f54

232001364 has 48 divisors (see below), whose sum is σ = 621824000. Its totient is φ = 65948256.

The previous prime is 232001327. The next prime is 232001389. The reversal of 232001364 is 463100232.

It is a happy number.

232001364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 232001364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9777 + ... + 23655.

Almost surely, 2232001364 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 232001364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310912000).

232001364 is an abundant number, since it is smaller than the sum of its proper divisors (389822636).

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

232001364 is a wasteful number, since it uses less digits than its factorization.

232001364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14092 (or 14090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 232001364 is about 15231.5909871556. The cubic root of 232001364 is about 614.4645693417.

Adding to 232001364 its reverse (463100232), we get a palindrome (695101596).

The spelling of 232001364 in words is "two hundred thirty-two million, one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1393 2388 2786 4179 5572 8358 13879 16716 27758 41637 55516 83274 97153 166548 194306 291459 388612 582918 1165836 2761921 5523842 8285763 11047684 16571526 19333447 33143052 38666894 58000341 77333788 116000682 232001364