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22122973920 = 2535311977547
BaseRepresentation
bin10100100110101000…
…011100101011100000
32010002210021111222110
4110212220130223200
5330301440131140
614055124035320
71412141114145
oct244650345340
963083244873
1022122973920
119422929823
124354b32b40
13211747a718
1410dc2323cc
15897320380
hex526a1cae0

22122973920 has 192 divisors, whose sum is σ = 72310081536. Its totient is φ = 5679421440.

The previous prime is 22122973841. The next prime is 22122973933. The reversal of 22122973920 is 2937922122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2927587 + ... + 2935133.

It is an arithmetic number, because the mean of its divisors is an integer number (376615008).

Almost surely, 222122973920 is an apocalyptic number.

22122973920 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 22122973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36155040768).

22122973920 is an abundant number, since it is smaller than the sum of its proper divisors (50187107616).

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

22122973920 is a wasteful number, since it uses less digits than its factorization.

22122973920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7785 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 22122973920 in words is "twenty-two billion, one hundred twenty-two million, nine hundred seventy-three thousand, nine hundred twenty".