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2256245536 = 25233678353
BaseRepresentation
bin1000011001111011…
…1001001100100000
312211020112011000111
42012132321030200
514110044324121
61011515101104
7106624525216
oct20636711440
95736464014
102256245536
11a58656736
1252b741794
1329c59573c
1417591ccb6
15d312c2e1
hex867b9320

2256245536 has 48 divisors (see below), whose sum is σ = 4648299264. Its totient is φ = 1076004864.

The previous prime is 2256245521. The next prime is 2256245567. The reversal of 2256245536 is 6355426522.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265936 + ... + 274288.

It is an arithmetic number, because the mean of its divisors is an integer number (96839568).

Almost surely, 22256245536 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 2256245536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324149632).

2256245536 is an abundant number, since it is smaller than the sum of its proper divisors (2392053728).

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

2256245536 is a wasteful number, since it uses less digits than its factorization.

2256245536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8753 (or 8745 counting only the distinct ones).

The product of its digits is 432000, while the sum is 40.

The square root of 2256245536 is about 47499.9530105031. The cubic root of 2256245536 is about 1311.5820166130.

The spelling of 2256245536 in words is "two billion, two hundred fifty-six million, two hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 367 368 734 736 1468 2936 5872 8353 8441 11744 16706 16882 33412 33764 66824 67528 133648 135056 192119 267296 270112 384238 768476 1536952 3065551 3073904 6131102 6147808 12262204 24524408 49048816 70507673 98097632 141015346 282030692 564061384 1128122768 2256245536