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200554056 = 23341731789
BaseRepresentation
bin10111111010000…
…11011001001000
3111222101012110000
423331003121020
5402320212211
631522323000
74653452463
oct1375033110
9458335400
10200554056
11a323125a
12571b9460
133271c551
141c8c82da
1512918656
hexbf43648

200554056 has 80 divisors (see below), whose sum is σ = 565299900. Its totient is φ = 66427776.

The previous prime is 200554033. The next prime is 200554087. The reversal of 200554056 is 650455002.

200554056 is a `hidden beast` number, since 200 + 55 + 405 + 6 = 666.

200554056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 152028900 + 48525156 = 12330^2 + 6966^2 .

It is a super-2 number, since 2×2005540562 = 80443858756102272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111210 + ... + 112998.

Almost surely, 2200554056 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 200554056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282649950).

200554056 is an abundant number, since it is smaller than the sum of its proper divisors (364745844).

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

200554056 is a wasteful number, since it uses less digits than its factorization.

200554056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 200554056 is about 14161.7109135867. The cubic root of 200554056 is about 585.3430729275.

The spelling of 200554056 in words is "two hundred million, five hundred fifty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 173 216 324 346 519 648 692 1038 1384 1557 1789 2076 3114 3578 4152 4671 5367 6228 7156 9342 10734 12456 14013 14312 16101 18684 21468 28026 32202 37368 42936 48303 56052 64404 96606 112104 128808 144909 193212 289818 309497 386424 579636 618994 928491 1159272 1237988 1856982 2475976 2785473 3713964 5570946 7427928 8356419 11141892 16712838 22283784 25069257 33425676 50138514 66851352 100277028 200554056