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189224532 = 223372291093
BaseRepresentation
bin10110100011101…
…01011001010100
3111012001121021000
423101311121110
5341420141112
630435423300
74455245010
oct1321653124
9435047230
10189224532
11978a3212
1253454b30
13302837a3
141b1b9540
151192b7dc
hexb475654

189224532 has 96 divisors (see below), whose sum is σ = 563628800. Its totient is φ = 53778816.

The previous prime is 189224531. The next prime is 189224561. The reversal of 189224532 is 235422981.

It is a happy number.

189224532 is a `hidden beast` number, since 18 + 92 + 24 + 532 = 666.

189224532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189224531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172578 + ... + 173670.

Almost surely, 2189224532 is an apocalyptic number.

189224532 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 189224532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281814400).

189224532 is an abundant number, since it is smaller than the sum of its proper divisors (374404268).

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

189224532 is a wasteful number, since it uses less digits than its factorization.

189224532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1334 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 189224532 is about 13755.8908108490. The cubic root of 189224532 is about 574.1065211221.

The spelling of 189224532 in words is "one hundred eighty-nine million, two hundred twenty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 229 252 378 458 687 756 916 1093 1374 1603 2061 2186 2748 3206 3279 4122 4372 4809 6183 6412 6558 7651 8244 9618 9837 12366 13116 14427 15302 19236 19674 22953 24732 28854 29511 30604 39348 43281 45906 57708 59022 68859 86562 91812 118044 137718 173124 206577 250297 275436 413154 500594 750891 826308 1001188 1501782 1752079 2252673 3003564 3504158 4505346 5256237 6758019 7008316 9010692 10512474 13516038 15768711 21024948 27032076 31537422 47306133 63074844 94612266 189224532