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22191157920 = 2535194371797
BaseRepresentation
bin10100101010101100…
…100011001010100000
32010021112120121211210
4110222230203022200
5330421414023140
614110001310120
71413626505261
oct245254431240
963245517753
1022191157920
11945836a438
124373935340
132128631799
141107300968
1589d2dcd80
hex52ab232a0

22191157920 has 384 divisors, whose sum is σ = 76448655360. Its totient is φ = 5391912960.

The previous prime is 22191157913. The next prime is 22191157951. The reversal of 22191157920 is 2975119122.

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, 27842962 + ... + 27843758.

It is an arithmetic number, because the mean of its divisors is an integer number (199085040).

Almost surely, 222191157920 is an apocalyptic number.

22191157920 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 22191157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38224327680).

22191157920 is an abundant number, since it is smaller than the sum of its proper divisors (54257497440).

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

22191157920 is a wasteful number, since it uses less digits than its factorization.

22191157920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The spelling of 22191157920 in words is "twenty-two billion, one hundred ninety-one million, one hundred fifty-seven thousand, nine hundred twenty".