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189119232 = 283327361
BaseRepresentation
bin10110100010110…
…11101100000000
3111011212020211000
423101123230000
5341403303412
630433252000
74454326011
oct1321335400
9434766730
10189119232
1197831095
1253404000
1330247893
141b18d008
151190a4dc
hexb45bb00

189119232 has 72 divisors (see below), whose sum is σ = 559279280. Its totient is φ = 63037440.

The previous prime is 189119209. The next prime is 189119239. The reversal of 189119232 is 232911981.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (189119239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6769 + ... + 20592.

Almost surely, 2189119232 is an apocalyptic number.

189119232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189119232 is an abundant number, since it is smaller than the sum of its proper divisors (370160048).

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

189119232 is an equidigital number, since it uses as much as digits as its factorization.

189119232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27386 (or 27366 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 189119232 is about 13752.0628270816. The cubic root of 189119232 is about 574.0000080937. Note that the first 5 decimals are identical.

The spelling of 189119232 in words is "one hundred eighty-nine million, one hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 27361 54722 82083 109444 164166 218888 246249 328332 437776 492498 656664 738747 875552 984996 1313328 1477494 1751104 1969992 2626656 2954988 3502208 3939984 5253312 5909976 7004416 7879968 10506624 11819952 15759936 21013248 23639904 31519872 47279808 63039744 94559616 189119232