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2255786257 = 29418921317
BaseRepresentation
bin1000011001110100…
…1001000100010001
312211012122211000011
42012131021010101
514104440130012
61011501154521
7106620603214
oct20635110421
95735584004
102255786257
11a5837266a
1252b55ba41
1329c46468a
1417583d77b
15d308b1a7
hex86749111

2255786257 has 16 divisors (see below), whose sum is σ = 2417461200. Its totient is φ = 2100904960.

The previous prime is 2255786233. The next prime is 2255786311. The reversal of 2255786257 is 7526875522.

It can be written as a sum of positive squares in 8 ways, for example, as 5612161 + 2250174096 = 2369^2 + 47436^2 .

It is a cyclic number.

It is not a de Polignac number, because 2255786257 - 231 = 108302609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2255786257.

It is not an unprimeable number, because it can be changed into a prime (2255786557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95163 + ... + 116479.

It is an arithmetic number, because the mean of its divisors is an integer number (151091325).

Almost surely, 22255786257 is an apocalyptic number.

It is an amenable number.

2255786257 is a deficient number, since it is larger than the sum of its proper divisors (161674943).

2255786257 is a wasteful number, since it uses less digits than its factorization.

2255786257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21476.

The product of its digits is 2352000, while the sum is 49.

The square root of 2255786257 is about 47495.1182438785. The cubic root of 2255786257 is about 1311.4930158157.

The spelling of 2255786257 in words is "two billion, two hundred fifty-five million, seven hundred eighty-six thousand, two hundred fifty-seven".

Divisors: 1 29 41 89 1189 2581 3649 21317 105821 618193 873997 1897213 25345913 55019177 77785733 2255786257