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232019928 = 23327676871
BaseRepresentation
bin11011101010001…
…01011111011000
3121011120211111200
431311011133120
5433344114203
635004554200
75515064640
oct1565053730
9534524450
10232019928
11109a73008
1265852960
13390b87ca
1422b59520
15155819a3
hexdd457d8

232019928 has 96 divisors (see below), whose sum is σ = 728981760. Its totient is φ = 65292480.

The previous prime is 232019897. The next prime is 232019941. The reversal of 232019928 is 829910232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232019892 and 232019901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30333 + ... + 37203.

It is an arithmetic number, because the mean of its divisors is an integer number (7593560).

Almost surely, 2232019928 is an apocalyptic number.

232019928 is a gapful number since it is divisible by the number (28) 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 232019928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364490880).

232019928 is an abundant number, since it is smaller than the sum of its proper divisors (496961832).

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

232019928 is a wasteful number, since it uses less digits than its factorization.

232019928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6957 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 232019928 is about 15232.2003663292. The cubic root of 232019928 is about 614.4809580615.

The spelling of 232019928 in words is "two hundred thirty-two million, nineteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1608 1876 2412 2814 3752 4221 4824 5628 6871 8442 11256 13742 16884 20613 27484 33768 41226 48097 54968 61839 82452 96194 123678 144291 164904 192388 247356 288582 384776 432873 460357 494712 577164 865746 920714 1154328 1381071 1731492 1841428 2762142 3222499 3462984 3682856 4143213 5524284 6444998 8286426 9667497 11048568 12889996 16572852 19334994 25779992 29002491 33145704 38669988 58004982 77339976 116009964 232019928