Search a number
-
+
2263085856 = 253241191657
BaseRepresentation
bin1000011011100011…
…1111001100100000
312211201101200011200
42012320333030200
514113322221411
61012321441200
7110036624643
oct20670771440
95751350150
102263085856
11a614a8999
12531aa0200
132a0b1c075
141767bda5a
15d3a2de56
hex86e3f320

2263085856 has 72 divisors (see below), whose sum is σ = 6592651884. Its totient is φ = 735959040.

The previous prime is 2263085837. The next prime is 2263085863. The reversal of 2263085856 is 6585803622.

2263085856 is a `hidden beast` number, since 2 + 2 + 63 + 0 + 8 + 585 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2218410000 + 44675856 = 47100^2 + 6684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84021 + ... + 107636.

Almost surely, 22263085856 is an apocalyptic number.

It is an amenable number.

2263085856 is an abundant number, since it is smaller than the sum of its proper divisors (4329566028).

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

2263085856 is a wasteful number, since it uses less digits than its factorization.

2263085856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191714 (or 191703 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2263085856 is about 47571.9019590346. The cubic root of 2263085856 is about 1312.9061321663.

The spelling of 2263085856 in words is "two billion, two hundred sixty-three million, eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 191657 383314 574971 766628 1149942 1533256 1724913 2299884 3066512 3449826 4599768 6133024 6899652 7857937 9199536 13799304 15715874 18399072 23573811 27598608 31431748 47147622 55197216 62863496 70721433 94295244 125726992 141442866 188590488 251453984 282885732 377180976 565771464 754361952 1131542928 2263085856