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232067424 = 25323611723
BaseRepresentation
bin11011101010100…
…01000101100000
3121011200020122210
431311101011200
5433402124144
635010002120
75515353261
oct1565210540
9534606583
10232067424
11109aa5766
1265876340
1339104304
1422b6c968
1515590ab9
hexdd51160

232067424 has 96 divisors (see below), whose sum is σ = 646458624. Its totient is φ = 72737280.

The previous prime is 232067413. The next prime is 232067453. The reversal of 232067424 is 424760232.

232067424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 232067391 and 232067400.

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, 133827 + ... + 135549.

It is an arithmetic number, because the mean of its divisors is an integer number (6733944).

Almost surely, 2232067424 is an apocalyptic number.

232067424 is a gapful number since it is divisible by the number (24) 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 232067424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323229312).

232067424 is an abundant number, since it is smaller than the sum of its proper divisors (414391200).

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

232067424 is a wasteful number, since it uses less digits than its factorization.

232067424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 232067424 is about 15233.7593521757. The cubic root of 232067424 is about 614.5228846273.

The spelling of 232067424 in words is "two hundred thirty-two million, sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 69 92 96 122 138 183 184 244 276 366 368 488 552 732 736 976 1104 1403 1464 1723 1952 2208 2806 2928 3446 4209 5169 5612 5856 6892 8418 10338 11224 13784 16836 20676 22448 27568 33672 39629 41352 44896 55136 67344 79258 82704 105103 118887 134688 158516 165408 210206 237774 315309 317032 420412 475548 630618 634064 840824 951096 1261236 1268128 1681648 1902192 2417369 2522472 3363296 3804384 4834738 5044944 7252107 9669476 10089888 14504214 19338952 29008428 38677904 58016856 77355808 116033712 232067424