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20922914304 = 29351953167
BaseRepresentation
bin10011011111000110…
…100101011000000000
32000000011011011200000
4103133012211120000
5320322231224204
613340054400000
71340326560105
oct233706453000
960004134600
1020922914304
118967492216
12407b060000
131c85965086
141026ac8aac
15826cc2039
hex4df1a5600

20922914304 has 480 divisors, whose sum is σ = 67563175680. Its totient is φ = 6443753472.

The previous prime is 20922914297. The next prime is 20922914317. The reversal of 20922914304 is 40341922902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125286829 + ... + 125286995.

It is an arithmetic number, because the mean of its divisors is an integer number (140756616).

Almost surely, 220922914304 is an apocalyptic number.

20922914304 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 20922914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33781587840).

20922914304 is an abundant number, since it is smaller than the sum of its proper divisors (46640261376).

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

20922914304 is an equidigital number, since it uses as much as digits as its factorization.

20922914304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20922914304 in words is "twenty billion, nine hundred twenty-two million, nine hundred fourteen thousand, three hundred four".