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22123315264 = 26898094801
BaseRepresentation
bin10100100110101001…
…110000000001000000
32010002210220212012211
4110212221300001000
5330302032042024
614055135231504
71412144035261
oct244651600100
963083825184
1022123315264
119423042226
124355078594
132117569bbb
1410dc2c0968
1589738b594
hex526a70040

22123315264 has 56 divisors (see below), whose sum is σ = 44458356600. Its totient is φ = 10921574400.

The previous prime is 22123315259. The next prime is 22123315301. The reversal of 22123315264 is 46251332122.

It can be written as a sum of positive squares in 4 ways, for example, as 4749966400 + 17373348864 = 68920^2 + 131808^2 .

It is an unprimeable number.

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, 4605664 + ... + 4610464.

It is an arithmetic number, because the mean of its divisors is an integer number (793899225).

Almost surely, 222123315264 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 22123315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22229178300).

22123315264 is an abundant number, since it is smaller than the sum of its proper divisors (22335041336).

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

22123315264 is an equidigital number, since it uses as much as digits as its factorization.

22123315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5701 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

Adding to 22123315264 its reverse (46251332122), we get a palindrome (68374647386).

The spelling of 22123315264 in words is "twenty-two billion, one hundred twenty-three million, three hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 809 1424 1618 2848 3236 4801 5696 6472 9602 12944 19204 25888 38408 51776 72001 76816 144002 153632 288004 307264 427289 576008 854578 1152016 1709156 2304032 3418312 3884009 4608064 6836624 7768018 13673248 15536036 27346496 31072072 62144144 124288288 248576576 345676801 691353602 1382707204 2765414408 5530828816 11061657632 22123315264