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199529664 = 2634722111
BaseRepresentation
bin10111110010010…
…01010011000000
3111220110011020120
423321021103000
5402034422124
631444340240
74641655065
oct1371112300
9456404216
10199529664
11a26a1654
12569a4680
13324511b9
141c6dcc6c
15127b4d79
hexbe494c0

199529664 has 56 divisors (see below), whose sum is σ = 539179008. Its totient is φ = 65091840.

The previous prime is 199529651. The next prime is 199529699. The reversal of 199529664 is 466925991.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2032 + ... + 20079.

Almost surely, 2199529664 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 199529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269589504).

199529664 is an abundant number, since it is smaller than the sum of its proper divisors (339649344).

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

199529664 is a wasteful number, since it uses less digits than its factorization.

199529664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22173 (or 22163 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 199529664 is about 14125.4969470104. The cubic root of 199529664 is about 584.3447642148.

The spelling of 199529664 in words is "one hundred ninety-nine million, five hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 22111 44222 66333 88444 132666 176888 265332 353776 530664 707552 1039217 1061328 1415104 2078434 2122656 3117651 4156868 4245312 6235302 8313736 12470604 16627472 24941208 33254944 49882416 66509888 99764832 199529664