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22253099520 = 293531151619
BaseRepresentation
bin10100101110011000…
…110101101000000000
32010102212010120202010
4110232120311220000
5331033243141040
614120053052520
71415311140111
oct245630655000
963385116663
1022253099520
11948a327043
124390627140
13213840b412
141111626208
158a3975e80
hex52e635a00

22253099520 has 320 divisors, whose sum is σ = 74040975360. Its totient is φ = 5695488000.

The previous prime is 22253099461. The next prime is 22253099537. The reversal of 22253099520 is 2599035222.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35949771 + ... + 35950389.

It is an arithmetic number, because the mean of its divisors is an integer number (231378048).

Almost surely, 222253099520 is an apocalyptic number.

22253099520 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 22253099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37020487680).

22253099520 is an abundant number, since it is smaller than the sum of its proper divisors (51787875840).

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

22253099520 is a wasteful number, since it uses less digits than its factorization.

22253099520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 22253099520 in words is "twenty-two billion, two hundred fifty-three million, ninety-nine thousand, five hundred twenty".