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22243438080 = 293354147167
BaseRepresentation
bin10100101101110011…
…111110111000000000
32010102011221201202000
4110231303332320000
5331023310004310
614115110024000
71415133050463
oct245563767000
963364851660
1022243438080
119484928286
124389348000
1321364079a6
14111022d2da
158a2bb84c0
hex52dcfee00

22243438080 has 640 divisors, whose sum is σ = 83154677760. Its totient is φ = 5629870080.

The previous prime is 22243437991. The next prime is 22243438097. The reversal of 22243438080 is 8083434222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133194157 + ... + 133194323.

It is an arithmetic number, because the mean of its divisors is an integer number (129929184).

Almost surely, 222243438080 is an apocalyptic number.

22243438080 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 22243438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41577338880).

22243438080 is an abundant number, since it is smaller than the sum of its proper divisors (60911239680).

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

22243438080 is a wasteful number, since it uses less digits than its factorization.

22243438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 22243438080 in words is "twenty-two billion, two hundred forty-three million, four hundred thirty-eight thousand, eighty".