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22421233024 = 271941922003
BaseRepresentation
bin10100111000011010…
…001101110110000000
32010212120111122112221
4110320122031312000
5331404313424044
614144500500424
71422422223211
oct247032156600
963776448487
1022421233024
119566224253
1244189aa714
1321641b8cb8
141129ab1408
158b35d8484
hex53868dd80

22421233024 has 64 divisors (see below), whose sum is σ = 47132568000. Its totient is φ = 10594755072.

The previous prime is 22421232997. The next prime is 22421233033. The reversal of 22421233024 is 42033212422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 22421233024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008007 + ... + 1030009.

It is an arithmetic number, because the mean of its divisors is an integer number (736446375).

Almost surely, 222421233024 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 22421233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23566284000).

22421233024 is an abundant number, since it is smaller than the sum of its proper divisors (24711334976).

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

22421233024 is a wasteful number, since it uses less digits than its factorization.

22421233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22455 (or 22443 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22421233024 its reverse (42033212422), we get a palindrome (64454445446).

The spelling of 22421233024 in words is "twenty-two billion, four hundred twenty-one million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 419 608 838 1216 1676 2432 3352 6704 7961 13408 15922 22003 26816 31844 44006 53632 63688 88012 127376 176024 254752 352048 418057 509504 704096 836114 1019008 1408192 1672228 2816384 3344456 6688912 9219257 13377824 18438514 26755648 36877028 53511296 73754056 147508112 175165883 295016224 350331766 590032448 700663532 1180064896 1401327064 2802654128 5605308256 11210616512 22421233024