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22734227968 = 29432274549
BaseRepresentation
bin10101001011000100…
…001100101000000000
32011200101110102220021
4111023010030220000
5333024430243333
614235521223224
71433242515004
oct251304145000
964611412807
1022734227968
119706973a61
1244a5791b14
1321b3cb68ca
1411594a8704
158d0d1282d
hex54b10ca00

22734227968 has 80 divisors (see below), whose sum is σ = 46695448800. Its totient is φ = 11051421696.

The previous prime is 22734227953. The next prime is 22734227969. The reversal of 22734227968 is 86972243722.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22734227969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4995358 + ... + 4999906.

It is an arithmetic number, because the mean of its divisors is an integer number (583693110).

Almost surely, 222734227968 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 22734227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23347724400).

22734227968 is an abundant number, since it is smaller than the sum of its proper divisors (23961220832).

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

22734227968 is an equidigital number, since it uses as much as digits as its factorization.

22734227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4821 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The spelling of 22734227968 in words is "twenty-two billion, seven hundred thirty-four million, two hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 227 256 344 454 512 688 908 1376 1816 2752 3632 4549 5504 7264 9098 9761 11008 14528 18196 19522 22016 29056 36392 39044 58112 72784 78088 116224 145568 156176 195607 291136 312352 391214 582272 624704 782428 1032623 1164544 1249408 1564856 2065246 2329088 2498816 3129712 4130492 4997632 6259424 8260984 12518848 16521968 25037696 33043936 44402789 50075392 66087872 88805578 100150784 132175744 177611156 264351488 355222312 528702976 710444624 1420889248 2841778496 5683556992 11367113984 22734227968