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22124344320 = 210335132947
BaseRepresentation
bin10100100110101101…
…101011010000000000
32010002212212010211000
4110212231223100000
5330302313004240
614055213252000
71412155552401
oct244655532000
963085763730
1022124344320
119423685391
124355494000
13211783a400
1410dc4ab9a8
158974e1430
hex526b6b400

22124344320 has 528 divisors, whose sum is σ = 85229219520. Its totient is φ = 5440241664.

The previous prime is 22124344313. The next prime is 22124344349. The reversal of 22124344320 is 2344342122.

22124344320 is a `hidden beast` number, since 2 + 212 + 4 + 3 + 443 + 2 + 0 = 666.

It is a super-2 number, since 2×221243443202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23362087 + ... + 23363033.

Almost surely, 222124344320 is an apocalyptic number.

22124344320 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 22124344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42614609760).

22124344320 is an abundant number, since it is smaller than the sum of its proper divisors (63104875200).

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

22124344320 is a wasteful number, since it uses less digits than its factorization.

22124344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22124344320 its reverse (2344342122), we get a palindrome (24468686442).

The spelling of 22124344320 in words is "twenty-two billion, one hundred twenty-four million, three hundred forty-four thousand, three hundred twenty".