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22613164352 = 262926945293
BaseRepresentation
bin10101000011110110…
…011000000101000000
32011100221122202211122
4111003312120011000
5332302432224402
614215514331412
71430242503602
oct250366300500
964327582748
1022613164352
1196545a6089
124471129b68
132194ba982c
141147393172
158c539bca2
hex543d98140

22613164352 has 56 divisors (see below), whose sum is σ = 46593937800. Its totient is φ = 10875877376.

The previous prime is 22613164351. The next prime is 22613164361. The reversal of 22613164352 is 25346131622.

It can be written as a sum of positive squares in 4 ways, for example, as 1022976256 + 21590188096 = 31984^2 + 146936^2 .

It is a super-2 number, since 2×226131643522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22613164351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476618 + ... + 521910.

Almost surely, 222613164352 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 22613164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23296968900).

22613164352 is an abundant number, since it is smaller than the sum of its proper divisors (23980773448).

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

22613164352 is a wasteful number, since it uses less digits than its factorization.

22613164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45603 (or 45593 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

Adding to 22613164352 its reverse (25346131622), we get a palindrome (47959295974).

It can be divided in two parts, 2261 and 3164352, that added together give a palindrome (3166613).

The spelling of 22613164352 in words is "twenty-two billion, six hundred thirteen million, one hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 269 464 538 928 1076 1856 2152 4304 7801 8608 15602 17216 31204 45293 62408 90586 124816 181172 249632 362344 499264 724688 1313497 1449376 2626994 2898752 5253988 10507976 12183817 21015952 24367634 42031904 48735268 84063808 97470536 194941072 353330693 389882144 706661386 779764288 1413322772 2826645544 5653291088 11306582176 22613164352