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33230520 = 23335291061
BaseRepresentation
bin111111011000…
…0111010111000
32022112021201000
41332300322320
532001334040
63144125000
7552311661
oct176607270
968467630
1033230520
1117837644
12b166760
136b6653b
1445b0368
152db6130
hex1fb0eb8

33230520 has 128 divisors (see below), whose sum is σ = 114696000. Its totient is φ = 8547840.

The previous prime is 33230513. The next prime is 33230537. The reversal of 33230520 is 2503233.

It is a super-2 number, since 2×332305202 = 2208534918940800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33230493 and 33230502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30790 + ... + 31850.

Almost surely, 233230520 is an apocalyptic number.

33230520 is a gapful number since it is divisible by the number (30) 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 33230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57348000).

33230520 is an abundant number, since it is smaller than the sum of its proper divisors (81465480).

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

33230520 is a wasteful number, since it uses less digits than its factorization.

33230520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 33230520 is about 5764.5919196418. The cubic root of 33230520 is about 321.4985701518.

Adding to 33230520 its reverse (2503233), we get a palindrome (35733753).

The spelling of 33230520 in words is "thirty-three million, two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1061 1080 1160 1305 1566 1740 2088 2122 2610 3132 3183 3480 3915 4244 5220 5305 6264 6366 7830 8488 9549 10440 10610 12732 15660 15915 19098 21220 25464 28647 30769 31320 31830 38196 42440 47745 57294 61538 63660 76392 92307 95490 114588 123076 127320 143235 153845 184614 190980 229176 246152 276921 286470 307690 369228 381960 461535 553842 572940 615380 738456 830763 923070 1107684 1145880 1230760 1384605 1661526 1846140 2215368 2769210 3323052 3692280 4153815 5538420 6646104 8307630 11076840 16615260 33230520