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199566144 = 2632346469
BaseRepresentation
bin10111110010100…
…10001101000000
3111220112000021200
423321102031000
5402042104034
631445221200
74642166331
oct1371221500
9456460250
10199566144
11a2716aa8
1256a01800
133246499b
141c70c288
15127c0a99
hexbe52340

199566144 has 42 divisors (see below), whose sum is σ = 572021970. Its totient is φ = 66521856.

The previous prime is 199566137. The next prime is 199566163. The reversal of 199566144 is 441665991.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 181926144 + 17640000 = 13488^2 + 4200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 199566144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172659 + ... + 173810.

Almost surely, 2199566144 is an apocalyptic number.

It is an amenable number.

199566144 is an abundant number, since it is smaller than the sum of its proper divisors (372455826).

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

199566144 is a wasteful number, since it uses less digits than its factorization.

199566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346487 (or 346474 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 199566144 is about 14126.7881699982. The cubic root of 199566144 is about 584.3803739542.

The spelling of 199566144 in words is "one hundred ninety-nine million, five hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 346469 692938 1039407 1385876 2078814 2771752 3118221 4157628 5543504 6236442 8315256 11087008 12472884 16630512 22174016 24945768 33261024 49891536 66522048 99783072 199566144