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21320022240 = 25325111578573
BaseRepresentation
bin10011110110110001…
…011011100011100000
32001000211101100100100
4103312301123203200
5322130411202430
613443322022400
71353221125146
oct236661334340
961024340310
1021320022240
1190506622a0
124170047a00
13201a00319a
141063739596
1584bab3960
hex4f6c5b8e0

21320022240 has 288 divisors, whose sum is σ = 79883477856. Its totient is φ = 5134970880.

The previous prime is 21320022203. The next prime is 21320022259. The reversal of 21320022240 is 4222002312.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2482594 + ... + 2491166.

It is an arithmetic number, because the mean of its divisors is an integer number (277373187).

Almost surely, 221320022240 is an apocalyptic number.

21320022240 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 21320022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39941738928).

21320022240 is an abundant number, since it is smaller than the sum of its proper divisors (58563455616).

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

21320022240 is a wasteful number, since it uses less digits than its factorization.

21320022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21320022240 its reverse (4222002312), we get a palindrome (25542024552).

The spelling of 21320022240 in words is "twenty-one billion, three hundred twenty million, twenty-two thousand, two hundred forty".