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22146797088 = 2534135312401
BaseRepresentation
bin10100101000000011…
…010100111000100000
32010011110002212020000
4110220003110320200
5330324040001323
614101334420000
71412550445353
oct245003247040
963143085200
1022146797088
119435320499
124360b01600
13211c39c080
14110147429a
15899478e43
hex5280d4e20

22146797088 has 240 divisors, whose sum is σ = 71472577176. Its totient is φ = 6685286400.

The previous prime is 22146797059. The next prime is 22146797089. The reversal of 22146797088 is 88079764122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16360456464 + 5786340624 = 127908^2 + 76068^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22146797089) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1779688 + ... + 1792088.

Almost surely, 222146797088 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 22146797088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35736288588).

22146797088 is an abundant number, since it is smaller than the sum of its proper divisors (49325780088).

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

22146797088 is a wasteful number, since it uses less digits than its factorization.

22146797088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12489 (or 12472 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 22146797088 in words is "twenty-two billion, one hundred forty-six million, seven hundred ninety-seven thousand, eighty-eight".