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22021122304 = 28314167679
BaseRepresentation
bin10100100000100011…
…111010100100000000
32002211200121220211101
4110200203322210000
5330044401403204
614041045024144
71406463310516
oct244043724400
962750556741
1022021122304
119380393135
1243269b5054
1320cc3391ac
1410cc8bc4b6
1588d401ea4
hex5208fa900

22021122304 has 72 divisors (see below), whose sum is σ = 46481541120. Its totient is φ = 10395340800.

The previous prime is 22021122301. The next prime is 22021122313. The reversal of 22021122304 is 40322112022.

It is not an unprimeable number, because it can be changed into a prime (22021122301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291537 + ... + 359215.

It is an arithmetic number, because the mean of its divisors is an integer number (645576960).

Almost surely, 222021122304 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 22021122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23240770560).

22021122304 is an abundant number, since it is smaller than the sum of its proper divisors (24460418816).

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

22021122304 is an equidigital number, since it uses as much as digits as its factorization.

22021122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67767 (or 67753 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22021122304 its reverse (40322112022), we get a palindrome (62343234326).

The spelling of 22021122304 in words is "twenty-two billion, twenty-one million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 656 992 1271 1312 1984 2542 2624 3968 5084 5248 7936 10168 10496 20336 40672 67679 81344 135358 162688 270716 325376 541432 1082864 2098049 2165728 2774839 4196098 4331456 5549678 8392196 8662912 11099356 16784392 17325824 22198712 33568784 44397424 67137568 86020009 88794848 134275136 172040018 177589696 268550272 344080036 355179392 537100544 688160072 710358784 1376320144 2752640288 5505280576 11010561152 22021122304