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22245409728 = 263561131179
BaseRepresentation
bin10100101101111011…
…100000001111000000
32010102022122220100000
4110231323200033000
5331024311102403
614115220200000
71415155601643
oct245573401700
963368586300
1022245409728
119485a54643
124389b39000
132136948249
1411105c3a5a
158a2e577a3
hex52dee03c0

22245409728 has 336 divisors, whose sum is σ = 68099391360. Its totient is φ = 7197465600.

The previous prime is 22245409717. The next prime is 22245409733. The reversal of 22245409728 is 82790454222.

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, 124275943 + ... + 124276121.

It is an arithmetic number, because the mean of its divisors is an integer number (202676760).

Almost surely, 222245409728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22245409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34049695680).

22245409728 is an abundant number, since it is smaller than the sum of its proper divisors (45853981632).

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

22245409728 is a wasteful number, since it uses less digits than its factorization.

22245409728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 22245409728 in words is "twenty-two billion, two hundred forty-five million, four hundred nine thousand, seven hundred twenty-eight".