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22480972800 = 21035211132389
BaseRepresentation
bin10100111011111110…
…000110110000000000
32011000201220202010020
4110323332012300000
5332020112112200
614154433133440
71424046054516
oct247376066000
964021822106
1022480972800
119596a17670
1244349ba280
1321736a4690
1411339c24b6
158b8988ea0
hex53bf86c00

22480972800 has 1056 divisors, whose sum is σ = 92109104640. Its totient is φ = 4757913600.

The previous prime is 22480972799. The next prime is 22480972817. The reversal of 22480972800 is 827908422.

It is a tau number, because it is divible by the number of its divisors (1056).

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, 252595156 + ... + 252595244.

Almost surely, 222480972800 is an apocalyptic number.

22480972800 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 22480972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46054552320).

22480972800 is an abundant number, since it is smaller than the sum of its proper divisors (69628131840).

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

22480972800 is a wasteful number, since it uses less digits than its factorization.

22480972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 22480972800 in words is "twenty-two billion, four hundred eighty million, nine hundred seventy-two thousand, eight hundred".