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199609344 = 21032112179
BaseRepresentation
bin10111110010111…
…00110000000000
3111220121012112200
423321130300000
5402044444334
631450153200
74642436304
oct1371346000
9456535480
10199609344
11a2746500
1256a22800
133247b54c
141c71dd04
15127cd799
hexbe5cc00

199609344 has 198 divisors, whose sum is σ = 637067340. Its totient is φ = 60149760.

The previous prime is 199609337. The next prime is 199609357. The reversal of 199609344 is 443906991.

199609344 is a `hidden beast` number, since 1 + 9 + 9 + 609 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (198).

It is a super-2 number, since 2×1996093442 = 79687780424220672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199609344.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115047 + ... + 1115225.

Almost surely, 2199609344 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 199609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318533670).

199609344 is an abundant number, since it is smaller than the sum of its proper divisors (437457996).

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

199609344 is a wasteful number, since it uses less digits than its factorization.

199609344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 199609344 is about 14128.3170972342. The cubic root of 199609344 is about 584.4225377706.

The spelling of 199609344 in words is "one hundred ninety-nine million, six hundred nine thousand, three hundred forty-four".