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22480575040 = 26571119311549
BaseRepresentation
bin10100111011111100…
…100101101001000000
32011000201011112111101
4110323330211221000
5332020011400130
614154420424144
71424042510050
oct247374455100
964021145441
1022480575040
119596775840
124434848054
132173595611
14113391b560
158b890b1ca
hex53bf25a40

22480575040 has 448 divisors, whose sum is σ = 72566784000. Its totient is φ = 6419865600.

The previous prime is 22480575031. The next prime is 22480575067. The reversal of 22480575040 is 4057508422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14512186 + ... + 14513734.

Almost surely, 222480575040 is an apocalyptic number.

22480575040 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 22480575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36283392000).

22480575040 is an abundant number, since it is smaller than the sum of its proper divisors (50086208960).

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

22480575040 is a wasteful number, since it uses less digits than its factorization.

22480575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 22480575040 in words is "twenty-two billion, four hundred eighty million, five hundred seventy-five thousand, forty".