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189296664 = 23331436197
BaseRepresentation
bin10110100100001…
…11000000011000
3111012012021012120
423102013000120
5341424443124
630441141240
74455665214
oct1322070030
9435167176
10189296664
1197942427
125348a820
13302aa57b
141b1d7944
1511942d79
hexb487018

189296664 has 128 divisors (see below), whose sum is σ = 513300480. Its totient is φ = 58060800.

The previous prime is 189296663. The next prime is 189296669. The reversal of 189296664 is 466692981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189296663) 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, 1951464 + ... + 1951560.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160).

Almost surely, 2189296664 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 189296664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256650240).

189296664 is an abundant number, since it is smaller than the sum of its proper divisors (324003816).

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

189296664 is a wasteful number, since it uses less digits than its factorization.

189296664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 189296664 is about 13758.5124195896. The cubic root of 189296664 is about 574.1794612606.

The spelling of 189296664 in words is "one hundred eighty-nine million, two hundred ninety-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 43 61 62 86 93 97 122 124 129 172 183 186 194 244 248 258 291 344 366 372 388 488 516 582 732 744 776 1032 1164 1333 1464 1891 2328 2623 2666 3007 3782 3999 4171 5246 5332 5673 5917 6014 7564 7869 7998 8342 9021 10492 10664 11346 11834 12028 12513 15128 15738 15996 16684 17751 18042 20984 22692 23668 24056 25026 31476 31992 33368 35502 36084 45384 47336 50052 62952 71004 72168 81313 100104 129301 142008 162626 183427 243939 254431 258602 325252 366854 387903 487878 508862 517204 550281 650504 733708 763293 775806 975756 1017724 1034408 1100562 1467416 1526586 1551612 1951512 2035448 2201124 3053172 3103224 4402248 6106344 7887361 15774722 23662083 31549444 47324166 63098888 94648332 189296664