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2261655136 = 251323236377
BaseRepresentation
bin1000011011001110…
…0001111001100000
312211121200222121001
42012303201321200
514112440431021
61012231041344
7110021515516
oct20663417140
95747628531
102261655136
11a60710a84
12531510254
132a073aaa0
1417652a4b6
15d384a091
hex86ce1e60

2261655136 has 48 divisors (see below), whose sum is σ = 5003649504. Its totient is φ = 998452224.

The previous prime is 2261655119. The next prime is 2261655169. The reversal of 2261655136 is 6315561622.

It is a junction number, because it is equal to n+sod(n) for n = 2261655095 and 2261655104.

It is a congruent number.

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, 108621 + ... + 127756.

It is an arithmetic number, because the mean of its divisors is an integer number (104242698).

Almost surely, 22261655136 is an apocalyptic number.

2261655136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2261655136 is an abundant number, since it is smaller than the sum of its proper divisors (2741994368).

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

2261655136 is a wasteful number, since it uses less digits than its factorization.

2261655136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236423 (or 236415 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 2261655136 is about 47556.8621336606. The cubic root of 2261655136 is about 1312.6294013128.

The spelling of 2261655136 in words is "two billion, two hundred sixty-one million, six hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 9568 236377 472754 945508 1891016 3072901 3782032 5436671 6145802 7564064 10873342 12291604 21746684 24583208 43493368 49166416 70676723 86986736 98332832 141353446 173973472 282706892 565413784 1130827568 2261655136