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199917568 = 2156101
BaseRepresentation
bin10111110101010…
…00000000000000
3111221011212100101
423322220000000
5402134330233
631500532144
74645162024
oct1372500000
9457155311
10199917568
11a2937034
1256b51054
1332558926
141c7a0384
151283ec7d
hexbea8000

199917568 has 32 divisors (see below), whose sum is σ = 399894570. Its totient is φ = 99942400.

The previous prime is 199917551. The next prime is 199917593. The reversal of 199917568 is 865719991.

It can be written as a sum of positive squares in only one way, i.e., 160579584 + 39337984 = 12672^2 + 6272^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29718 + ... + 35818.

Almost surely, 2199917568 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 199917568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199947285).

199917568 is an abundant number, since it is smaller than the sum of its proper divisors (199977002).

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

199917568 is an frugal number, since it uses more digits than its factorization.

199917568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6103 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 55.

The square root of 199917568 is about 14139.2209120588. The cubic root of 199917568 is about 584.7231923918.

The spelling of 199917568 in words is "one hundred ninety-nine million, nine hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 6101 8192 12202 16384 24404 32768 48808 97616 195232 390464 780928 1561856 3123712 6247424 12494848 24989696 49979392 99958784 199917568