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22121344004 = 22149361310273
BaseRepresentation
bin10100100110100010…
…001110110000000100
32010002200012201011012
4110212202032300010
5330301031002004
614055025101352
71412121215204
oct244642166004
963080181135
1022121344004
119421a16191
124354487858
132117029886
1410dbd2a404
158970ec46e
hex52688ec04

22121344004 has 24 divisors (see below), whose sum is σ = 38986747800. Its totient is φ = 10982329344.

The previous prime is 22121343977. The next prime is 22121344051. The reversal of 22121344004 is 40044312122.

It can be written as a sum of positive squares in 4 ways, for example, as 2633742400 + 19487601604 = 51320^2 + 139598^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2148212 + ... + 2158484.

It is an arithmetic number, because the mean of its divisors is an integer number (1624447825).

Almost surely, 222121344004 is an apocalyptic number.

It is an amenable number.

22121344004 is a deficient number, since it is larger than the sum of its proper divisors (16865403796).

22121344004 is a wasteful number, since it uses less digits than its factorization.

22121344004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14039 (or 14037 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 22121344004 its reverse (40044312122), we get a palindrome (62165656126).

The spelling of 22121344004 in words is "twenty-two billion, one hundred twenty-one million, three hundred forty-four thousand, four".

Divisors: 1 2 4 149 298 596 3613 7226 10273 14452 20546 41092 538337 1076674 1530677 2153348 3061354 6122708 37116349 74232698 148465396 5530336001 11060672002 22121344004