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232007820 = 223511231957
BaseRepresentation
bin11011101010000…
…10100010001100
3121011120012220020
431311002202030
5433343222240
635004422140
75515014432
oct1565024214
9534505806
10232007820
11109a64a00
1265847950
13390b3145
1422b54d52
151557d0d0
hexdd4288c

232007820 has 72 divisors (see below), whose sum is σ = 714069552. Its totient is φ = 56242560.

The previous prime is 232007777. The next prime is 232007837. The reversal of 232007820 is 28700232.

232007820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 8719 + ... + 23238.

Almost surely, 2232007820 is an apocalyptic number.

232007820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232007820 is an abundant number, since it is smaller than the sum of its proper divisors (482061732).

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

232007820 is a wasteful number, since it uses less digits than its factorization.

232007820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31991 (or 31978 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 232007820 is about 15231.8029136409. The cubic root of 232007820 is about 614.4702689440.

The spelling of 232007820 in words is "two hundred thirty-two million, seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 31957 63914 95871 127828 159785 191742 319570 351527 383484 479355 639140 703054 958710 1054581 1406108 1757635 1917420 2109162 3515270 3866797 4218324 5272905 7030540 7733594 10545810 11600391 15467188 19333985 21091620 23200782 38667970 46401564 58001955 77335940 116003910 232007820