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22979349120 = 2735713267151
BaseRepresentation
bin10101011001101011…
…010000101010000000
32012022110200212220110
4111121223100222000
5334030203132440
614320115111320
71442310146640
oct253153205200
965273625813
1022979349120
119822275122
1245538a2540
132222a0b700
14117dc74520
158e75d1080
hex559ad0a80

22979349120 has 768 divisors, whose sum is σ = 92607252480. Its totient is φ = 4744396800.

The previous prime is 22979349109. The next prime is 22979349203. The reversal of 22979349120 is 2194397922.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22979349120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152181045 + ... + 152181195.

It is an arithmetic number, because the mean of its divisors is an integer number (120582360).

Almost surely, 222979349120 is an apocalyptic number.

22979349120 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 22979349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46303626240).

22979349120 is an abundant number, since it is smaller than the sum of its proper divisors (69627903360).

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

22979349120 is a wasteful number, since it uses less digits than its factorization.

22979349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 22979349120 in words is "twenty-two billion, nine hundred seventy-nine million, three hundred forty-nine thousand, one hundred twenty".