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225056262756 = 2231313938926681
BaseRepresentation
bin1101000110011001100…
…1100000101001100100
3210111220120001201022010
43101212121200221210
512141403400402011
6251220040434220
722155050445513
oct3214631405144
9714816051263
10225056262756
118749a436276
123774aa78970
13182b83c4560
14ac6db1267a
155cc305c1a6
hex3466660a64

225056262756 has 96 divisors (see below), whose sum is σ = 571080182400. Its totient is φ = 68570588160.

The previous prime is 225056262751. The next prime is 225056262757. The reversal of 225056262756 is 657262650522.

It is not an unprimeable number, because it can be changed into a prime (225056262751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8421736 + ... + 8448416.

It is an arithmetic number, because the mean of its divisors is an integer number (5948751900).

Almost surely, 2225056262756 is an apocalyptic number.

225056262756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225056262756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285540091200).

225056262756 is an abundant number, since it is smaller than the sum of its proper divisors (346023919644).

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

225056262756 is a wasteful number, since it uses less digits than its factorization.

225056262756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27229 (or 27227 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 225056262756 in words is "two hundred twenty-five billion, fifty-six million, two hundred sixty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 278 389 417 556 778 834 1167 1556 1668 1807 2334 3614 4668 5057 5421 7228 10114 10842 15171 20228 21684 26681 30342 53362 54071 60684 80043 106724 108142 160086 162213 216284 320172 324426 346853 648852 693706 702923 1040559 1387412 1405846 2081118 2108769 2811692 3708659 4162236 4217538 7417318 8435076 10378909 11125977 14834636 20757818 22251954 31136727 41515636 44503908 48212567 62273454 96425134 124546908 134925817 144637701 192850268 269851634 289275402 404777451 539703268 578550804 809554902 1442668351 1619109804 2885336702 4328005053 5770673404 8656010106 17312020212 18754688563 37509377126 56264065689 75018754252 112528131378 225056262756