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10022081328 = 24327541101
BaseRepresentation
bin10010101010101110…
…01101001100110000
3221212110022111000100
421111113031030300
5131011123100303
64334251552400
7503233200000
oct112527151460
927773274010
1010022081328
114283227046
121b3845b700
13c3944c04c
146b1070000
153d9cc08a3
hex2555cd330

10022081328 has 360 divisors, whose sum is σ = 33852270816. Its totient is φ = 2765952000.

The previous prime is 10022081327. The next prime is 10022081347. The reversal of 10022081328 is 82318022001.

It is a super-2 number, since 2×100220813282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022081327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99228478 + ... + 99228578.

Almost surely, 210022081328 is an apocalyptic number.

10022081328 is a gapful number since it is divisible by the number (18) 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 10022081328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926135408).

10022081328 is an abundant number, since it is smaller than the sum of its proper divisors (23830189488).

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

10022081328 is an equidigital number, since it uses as much as digits as its factorization.

10022081328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10022081328 in words is "ten billion, twenty-two million, eighty-one thousand, three hundred twenty-eight".