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22234905420 = 223572131967457
BaseRepresentation
bin10100101101010011…
…011011101101001100
32010101120220020010120
4110231103123231030
5331014113433140
614114203104540
71415000402100
oct245523335514
963346806116
1022234905420
11948002a5a2
124386512150
13213470ac90
14110d04b900
158a20801d0
hex52d4dbb4c

22234905420 has 576 divisors, whose sum is σ = 83505784320. Its totient is φ = 4368494592.

The previous prime is 22234905419. The next prime is 22234905443. The reversal of 22234905420 is 2450943222.

22234905420 = T286 + T287 + ... + T5109.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48653832 + ... + 48654288.

It is an arithmetic number, because the mean of its divisors is an integer number (144975320).

Almost surely, 222234905420 is an apocalyptic number.

22234905420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22234905420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41752892160).

22234905420 is an abundant number, since it is smaller than the sum of its proper divisors (61270878900).

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

22234905420 is a wasteful number, since it uses less digits than its factorization.

22234905420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 22234905420 in words is "twenty-two billion, two hundred thirty-four million, nine hundred five thousand, four hundred twenty".