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22421104024 = 231117130711467
BaseRepresentation
bin10100111000011001…
…101110010110011000
32010212120021002121011
4110320121232112120
5331404300312044
614144454023304
71422421145134
oct247031562630
963776232534
1022421104024
119566146340
124418947b34
132164172377
141129a7a3c4
158b35b0134
hex53866e598

22421104024 has 64 divisors (see below), whose sum is σ = 48600466560. Its totient is φ = 9583741440.

The previous prime is 22421104021. The next prime is 22421104031. The reversal of 22421104024 is 42040112422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22421103986 and 22421104004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22421104021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949539 + ... + 1961005.

It is an arithmetic number, because the mean of its divisors is an integer number (759382290).

Almost surely, 222421104024 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 22421104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24300233280).

22421104024 is an abundant number, since it is smaller than the sum of its proper divisors (26179362536).

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

22421104024 is a wasteful number, since it uses less digits than its factorization.

22421104024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808 (or 12804 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 22421104024 its reverse (42040112422), we get a palindrome (64461216446).

The spelling of 22421104024 in words is "twenty-two billion, four hundred twenty-one million, one hundred four thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1307 1496 2614 5228 10456 11467 14377 22219 22934 28754 44438 45868 57508 88876 91736 115016 126137 177752 194939 244409 252274 389878 488818 504548 779756 977636 1009096 1559512 1955272 2144329 4288658 8577316 14987369 17154632 29974738 59949476 119898952 164861059 254785273 329722118 509570546 659444236 1019141092 1318888472 2038282184 2802638003 5605276006 11210552012 22421104024