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22770775104 = 2637211283241
BaseRepresentation
bin10101001101001111…
…100111010001000000
32011202221020020010220
4111031033213101000
5333113304300404
614243304423040
71434165252300
oct251517472100
964687206126
1022770775104
119725566400
1244b5a77a80
1321bb74192c
14116029d600
158d41314d9
hex54d3e7440

22770775104 has 504 divisors, whose sum is σ = 78286136544. Its totient is φ = 5818982400.

The previous prime is 22770775099. The next prime is 22770775129. The reversal of 22770775104 is 40157707722.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94484424 + ... + 94484664.

It is an arithmetic number, because the mean of its divisors is an integer number (155329636).

Almost surely, 222770775104 is an apocalyptic number.

22770775104 is a gapful number since it is divisible by the number (24) 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 22770775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39143068272).

22770775104 is an abundant number, since it is smaller than the sum of its proper divisors (55515361440).

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

22770775104 is a wasteful number, since it uses less digits than its factorization.

22770775104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 42.

The spelling of 22770775104 in words is "twenty-two billion, seven hundred seventy million, seven hundred seventy-five thousand, one hundred four".