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30233060 = 22511213312
BaseRepresentation
bin111001101010…
…1000111100100
32002212222221222
41303111013210
530214424220
62555555512
7514656014
oct163250744
962788858
1030233060
111607a600
12a15bb98
1363570b0
14402dc44
1529c2e25
hex1cd51e4

30233060 has 108 divisors (see below), whose sum is σ = 77656572. Its totient is φ = 9820800.

The previous prime is 30233059. The next prime is 30233081. The reversal of 30233060 is 6033203.

It can be written as a sum of positive squares in 2 ways, for example, as 7441984 + 22791076 = 2728^2 + 4774^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975245 + ... + 975275.

Almost surely, 230233060 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 30233060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38828286).

30233060 is an abundant number, since it is smaller than the sum of its proper divisors (47423512).

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

30233060 is a wasteful number, since it uses less digits than its factorization.

30233060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 30233060 is about 5498.4597843396. The cubic root of 30233060 is about 311.5258110144.

Adding to 30233060 its reverse (6033203), we get a palindrome (36266263).

The spelling of 30233060 in words is "thirty million, two hundred thirty-three thousand, sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 121 124 130 143 155 220 242 260 286 310 341 403 484 572 605 620 682 715 806 961 1210 1364 1430 1573 1612 1705 1922 2015 2420 2860 3146 3410 3751 3844 4030 4433 4805 6292 6820 7502 7865 8060 8866 9610 10571 12493 15004 15730 17732 18755 19220 21142 22165 24986 31460 37510 42284 44330 48763 49972 52855 62465 75020 88660 97526 105710 116281 124930 137423 195052 211420 232562 243815 249860 274846 465124 487630 549692 581405 687115 975260 1162810 1374230 1511653 2325620 2748460 3023306 6046612 7558265 15116530 30233060