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2261441556 = 2232115710711
BaseRepresentation
bin1000011011001010…
…1101110000010100
312211121022010121200
42012302231300110
514112412112211
61012222312500
7110016636033
oct20662556024
95747263550
102261441556
11a60585570
12531428730
132a06947ca
141764b271a
15d3806b56
hex86cadc14

2261441556 has 36 divisors (see below), whose sum is σ = 6236097504. Its totient is φ = 685285200.

The previous prime is 2261441461. The next prime is 2261441563. The reversal of 2261441556 is 6551441622.

2261441556 is a `hidden beast` number, since 2 + 2 + 61 + 4 + 41 + 556 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22614415562 = 10228235822407402272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2261441556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2854960 + ... + 2855751.

Almost surely, 22261441556 is an apocalyptic number.

It is an amenable number.

2261441556 is an abundant number, since it is smaller than the sum of its proper divisors (3974655948).

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

2261441556 is a wasteful number, since it uses less digits than its factorization.

2261441556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5710732 (or 5710727 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2261441556 is about 47554.6165582270. The cubic root of 2261441556 is about 1312.5880805106.

The spelling of 2261441556 in words is "two billion, two hundred sixty-one million, four hundred forty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5710711 11421422 17132133 22842844 34264266 51396399 62817821 68528532 102792798 125635642 188453463 205585596 251271284 376906926 565360389 753813852 1130720778 2261441556