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21822937920 = 2633572192713
BaseRepresentation
bin10100010100101111…
…111001101101000000
32002022212201002222000
4110110233321231000
5324143133003140
614005245144000
71401535624500
oct242457715500
962285632860
1021822937920
119289530293
12429055b000
13209a269424
1410b044da00
1587ad05a30
hex514bf9b40

21822937920 has 672 divisors, whose sum is σ = 94303900800. Its totient is φ = 4723826688.

The previous prime is 21822937879. The next prime is 21822937931. The reversal of 21822937920 is 2973922812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8042484 + ... + 8045196.

Almost surely, 221822937920 is an apocalyptic number.

21822937920 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 21822937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47151950400).

21822937920 is an abundant number, since it is smaller than the sum of its proper divisors (72480962880).

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

21822937920 is a wasteful number, since it uses less digits than its factorization.

21822937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21822937920 in words is "twenty-one billion, eight hundred twenty-two million, nine hundred thirty-seven thousand, nine hundred twenty".