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232013232 = 243211712063
BaseRepresentation
bin11011101010000…
…11110110110000
3121011120111022200
431311003312300
5433343410412
635004503200
75515036263
oct1565036660
9534514280
10232013232
11109a68a80
126584ab00
13390b5749
1422b56cda
151557e9dc
hexdd43db0

232013232 has 120 divisors (see below), whose sum is σ = 718668288. Its totient is φ = 69283200.

The previous prime is 232013231. The next prime is 232013281. The reversal of 232013232 is 232310232.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (232013231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111433 + ... + 113495.

Almost surely, 2232013232 is an apocalyptic number.

232013232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359334144).

232013232 is an abundant number, since it is smaller than the sum of its proper divisors (486655056).

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

232013232 is a wasteful number, since it uses less digits than its factorization.

232013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 232013232 is about 15231.9805672145. The cubic root of 232013232 is about 614.4750467818.

Adding to 232013232 its reverse (232310232), we get a palindrome (464323464).

The spelling of 232013232 in words is "two hundred thirty-two million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 71 72 88 99 132 142 144 176 198 213 264 284 396 426 528 568 639 781 792 852 1136 1278 1562 1584 1704 2063 2343 2556 3124 3408 4126 4686 5112 6189 6248 7029 8252 9372 10224 12378 12496 14058 16504 18567 18744 22693 24756 28116 33008 37134 37488 45386 49512 56232 68079 74268 90772 99024 112464 136158 146473 148536 181544 204237 272316 292946 297072 363088 408474 439419 544632 585892 816948 878838 1089264 1171784 1318257 1611203 1633896 1757676 2343568 2636514 3222406 3267792 3515352 4833609 5273028 6444812 7030704 9667218 10546056 12889624 14500827 19334436 21092112 25779248 29001654 38668872 58003308 77337744 116006616 232013232