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189195312 = 243171912203
BaseRepresentation
bin10110100011011…
…10010000110000
3111012000010011210
423101232100300
5341413222222
630435040120
74455063555
oct1321562060
9435003153
10189195312
1197883269
1253440040
13302733b7
141b1aca2c
1511922d0c
hexb46e430

189195312 has 80 divisors (see below), whose sum is σ = 544786560. Its totient is φ = 56226816.

The previous prime is 189195311. The next prime is 189195317. The reversal of 189195312 is 213591981.

It is not an unprimeable number, because it can be changed into a prime (189195311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9403 + ... + 21605.

It is an arithmetic number, because the mean of its divisors is an integer number (6809832).

Almost surely, 2189195312 is an apocalyptic number.

189195312 is a gapful number since it is divisible by the number (12) 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 189195312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272393280).

189195312 is an abundant number, since it is smaller than the sum of its proper divisors (355591248).

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

189195312 is a wasteful number, since it uses less digits than its factorization.

189195312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12250 (or 12244 counting only the distinct ones).

The product of its digits is 19440, while the sum is 39.

The square root of 189195312 is about 13754.8286794129. The cubic root of 189195312 is about 574.0769684774.

The spelling of 189195312 in words is "one hundred eighty-nine million, one hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 12203 15504 24406 36609 48812 73218 97624 146436 195248 207451 231857 292872 414902 463714 585744 622353 695571 829804 927428 1244706 1391142 1659608 1854856 2489412 2782284 3319216 3709712 3941569 4978824 5564568 7883138 9957648 11129136 11824707 15766276 23649414 31532552 47298828 63065104 94597656 189195312