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189210112 = 2971331131
BaseRepresentation
bin10110100011100…
…01111000000000
3111012000212110221
423101301320000
5341414210422
630435232424
74455154660
oct1321617000
9435025427
10189210112
11978933a3
1253448714
133027a060
141b1b41a0
15119273c7
hexb471e00

189210112 has 160 divisors (see below), whose sum is σ = 483969024. Its totient is φ = 71884800.

The previous prime is 189210107. The next prime is 189210127. The reversal of 189210112 is 211012981.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444287 + ... + 1444417.

Almost surely, 2189210112 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 189210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241984512).

189210112 is an abundant number, since it is smaller than the sum of its proper divisors (294758912).

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

189210112 is a wasteful number, since it uses less digits than its factorization.

189210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 25.

The square root of 189210112 is about 13755.3666617797. The cubic root of 189210112 is about 574.0919373430.

The spelling of 189210112 in words is "one hundred eighty-nine million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 131 182 208 217 224 248 256 262 364 403 416 434 448 496 512 524 728 806 832 868 896 917 992 1048 1456 1612 1664 1703 1736 1792 1834 1984 2096 2821 2912 3224 3328 3406 3472 3584 3668 3968 4061 4192 5642 5824 6448 6656 6812 6944 7336 7936 8122 8384 11284 11648 11921 12896 13624 13888 14672 15872 16244 16768 22568 23296 23842 25792 27248 27776 28427 29344 32488 33536 45136 46592 47684 51584 52793 54496 55552 56854 58688 64976 67072 90272 95368 103168 105586 108992 111104 113708 117376 129952 180544 190736 206336 211172 217984 227416 234752 259904 361088 369551 381472 422344 435968 454832 469504 519808 722176 739102 762944 844688 871936 909664 1039616 1444352 1478204 1525888 1689376 1819328 2079232 2956408 3051776 3378752 3638656 5912816 6103552 6757504 7277312 11825632 13515008 14554624 23651264 27030016 47302528 94605056 189210112