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22613234436 = 22321348318877
BaseRepresentation
bin10101000011110110…
…101001001100000100
32011100221210022222100
4111003312221030010
5332302442000221
614215520032100
71430243215122
oct250366511404
964327708870
1022613234436
119654643801
124471162630
132194c026c0
1411473b0912
158c53b2926
hex543da9304

22613234436 has 36 divisors (see below), whose sum is σ = 61558250572. Its totient is φ = 6957918144.

The previous prime is 22613234419. The next prime is 22613234443. The reversal of 22613234436 is 63443231622.

22613234436 is a `hidden beast` number, since 2 + 2 + 613 + 2 + 3 + 4 + 4 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15127524036 + 7485710400 = 122994^2 + 86520^2 .

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

It is a super-2 number, since 2×226132344362 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22613234436.

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, 24158971 + ... + 24159906.

Almost surely, 222613234436 is an apocalyptic number.

22613234436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

22613234436 is an abundant number, since it is smaller than the sum of its proper divisors (38945016136).

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

22613234436 is a wasteful number, since it uses less digits than its factorization.

22613234436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48318900 (or 48318895 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

It can be divided in two parts, 22613 and 234436, that added together give a square (257049 = 5072).

The spelling of 22613234436 in words is "twenty-two billion, six hundred thirteen million, two hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 48318877 96637754 144956631 193275508 289913262 434869893 579826524 628145401 869739786 1256290802 1739479572 1884436203 2512581604 3768872406 5653308609 7537744812 11306617218 22613234436