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231533232 = 2437641
BaseRepresentation
bin11011100110011…
…10101010110000
3121010200002212220
431303032222300
5433233030412
634550321040
75511000000
oct1563165260
9533602786
10231533232
11109770387
1265659180
1338c78118
1422a70000
15154d768c
hexdcceab0

231533232 has 140 divisors (see below), whose sum is σ = 714834456. Its totient is φ = 64538880.

The previous prime is 231533227. The next prime is 231533257. The reversal of 231533232 is 232335132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5647132 + ... + 5647172.

Almost surely, 2231533232 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 231533232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357417228).

231533232 is an abundant number, since it is smaller than the sum of its proper divisors (483301224).

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

231533232 is an frugal number, since it uses more digits than its factorization.

231533232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 231533232 is about 15216.2160867937. The cubic root of 231533232 is about 614.0510024937.

Adding to 231533232 its reverse (232335132), we get a palindrome (463868364).

The spelling of 231533232 in words is "two hundred thirty-one million, five hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 49 56 82 84 98 112 123 147 164 168 196 246 287 294 328 336 343 392 492 574 588 656 686 784 861 984 1029 1148 1176 1372 1722 1968 2009 2058 2296 2352 2401 2744 3444 4018 4116 4592 4802 5488 6027 6888 7203 8036 8232 9604 12054 13776 14063 14406 16072 16464 16807 19208 24108 28126 28812 32144 33614 38416 42189 48216 50421 56252 57624 67228 84378 96432 98441 100842 112504 115248 117649 134456 168756 196882 201684 225008 235298 268912 295323 337512 352947 393764 403368 470596 590646 675024 689087 705894 787528 806736 941192 1181292 1378174 1411788 1575056 1882384 2067261 2362584 2756348 2823576 4134522 4725168 4823609 5512696 5647152 8269044 9647218 11025392 14470827 16538088 19294436 28941654 33076176 38588872 57883308 77177744 115766616 231533232