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22244330448 = 24321381111857
BaseRepresentation
bin10100101101110111…
…011000101111010000
32010102020122001211200
4110231313120233100
5331024022033243
614115141111200
71415143455234
oct245567305720
963366561750
1022244330448
11948538777a
1243896b8500
13213665ac12
1411103c25c4
158a2ce2ad3
hex52ddd8bd0

22244330448 has 60 divisors (see below), whose sum is σ = 62298865668. Its totient is φ = 7409341440.

The previous prime is 22244330447. The next prime is 22244330453. The reversal of 22244330448 is 84403344222.

It can be written as a sum of positive squares in 2 ways, for example, as 5668282944 + 16576047504 = 75288^2 + 128748^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244330441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142936 + ... + 254792.

Almost surely, 222244330448 is an apocalyptic number.

It is an amenable number.

22244330448 is an abundant number, since it is smaller than the sum of its proper divisors (40054535220).

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

22244330448 is a wasteful number, since it uses less digits than its factorization.

22244330448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113252 (or 113243 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 22244330448 in words is "twenty-two billion, two hundred forty-four million, three hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1381 2762 4143 5524 8286 11048 12429 16572 22096 24858 33144 49716 66288 99432 111857 198864 223714 335571 447428 671142 894856 1006713 1342284 1789712 2013426 2684568 4026852 5369136 8053704 16107408 154474517 308949034 463423551 617898068 926847102 1235796136 1390270653 1853694204 2471592272 2780541306 3707388408 5561082612 7414776816 11122165224 22244330448