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2255633536 = 27134617
BaseRepresentation
bin1000011001110010…
…0011110010000000
312211012101001111211
42012130203302000
514104420233121
61011454015504
7106616366032
oct20634436200
95735331454
102255633536
11a58278952
1252b4a7594
1329c410000
141757ddc52
15d305ace1
hex86723c80

2255633536 has 80 divisors (see below), whose sum is σ = 4875992190. Its totient is φ = 1039374336.

The previous prime is 2255633521. The next prime is 2255633599. The reversal of 2255633536 is 6353365522.

It can be written as a sum of positive squares in 5 ways, for example, as 926593600 + 1329039936 = 30440^2 + 36456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3655500 + ... + 3656116.

Almost surely, 22255633536 is an apocalyptic number.

2255633536 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 2255633536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437996095).

2255633536 is an abundant number, since it is smaller than the sum of its proper divisors (2620358654).

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

2255633536 is an frugal number, since it uses more digits than its factorization.

2255633536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 632 counting only the distinct ones).

The product of its digits is 486000, while the sum is 40.

The square root of 2255633536 is about 47493.5104619568. The cubic root of 2255633536 is about 1311.4634182944.

The spelling of 2255633536 in words is "two billion, two hundred fifty-five million, six hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 617 676 832 1234 1352 1664 2197 2468 2704 4394 4936 5408 8021 8788 9872 10816 16042 17576 19744 21632 28561 32084 35152 39488 57122 64168 70304 78976 104273 114244 128336 140608 208546 228488 256672 281216 417092 456976 513344 834184 913952 1026688 1355549 1668368 1827904 2711098 3336736 3655808 5422196 6673472 10844392 13346944 17622137 21688784 35244274 43377568 70488548 86755136 140977096 173510272 281954192 563908384 1127816768 2255633536