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22240296960 = 221357101
BaseRepresentation
bin10100101101101000…
…000000000000000000
32010101222001010221020
4110231220000000000
5331022004000320
614114514425440
71415064255630
oct245550000000
963358033836
1022240296960
119483082312
124388292280
13213587803b
14110da526c0
158a2797940
hex52da00000

22240296960 has 352 divisors, whose sum is σ = 82141229952. Its totient is φ = 5033164800.

The previous prime is 22240296893. The next prime is 22240296979. The reversal of 22240296960 is 6969204222.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220200910 + ... + 220201010.

Almost surely, 222240296960 is an apocalyptic number.

22240296960 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 22240296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41070614976).

22240296960 is an abundant number, since it is smaller than the sum of its proper divisors (59900932992).

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

22240296960 is an frugal number, since it uses more digits than its factorization.

22240296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 22240296960 in words is "twenty-two billion, two hundred forty million, two hundred ninety-six thousand, nine hundred sixty".