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22172401680 = 243511131275087
BaseRepresentation
bin10100101001100101…
…000000000000010000
32010020020021201010020
4110221211000000100
5330402113323210
614104051303440
71413311206332
oct245145000020
963206251106
1022172401680
119448819610
1243695aab80
132124795510
141104a1b452
1589b835770
hex529940010

22172401680 has 320 divisors, whose sum is σ = 81402789888. Its totient is φ = 4921620480.

The previous prime is 22172401679. The next prime is 22172401751. The reversal of 22172401680 is 8610427122.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 4356097 + ... + 4361183.

Almost surely, 222172401680 is an apocalyptic number.

22172401680 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 22172401680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40701394944).

22172401680 is an abundant number, since it is smaller than the sum of its proper divisors (59230388208).

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

22172401680 is a wasteful number, since it uses less digits than its factorization.

22172401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 22172401680 in words is "twenty-two billion, one hundred seventy-two million, four hundred one thousand, six hundred eighty".