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22162291680 = 253546171441
BaseRepresentation
bin10100101000111110…
…011011101111100000
32010012112021001210210
4110220332123233200
5330342021313210
614103050454120
71413126241164
oct245076335740
963175231723
1022162291680
119443043841
124366134340
132122665879
141103548ca4
1589a9d9e20
hex528f9bbe0

22162291680 has 48 divisors (see below), whose sum is σ = 69811220304. Its totient is φ = 5909944320.

The previous prime is 22162291667. The next prime is 22162291703. The reversal of 22162291680 is 8619226122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23085241 + ... + 23086200.

It is an arithmetic number, because the mean of its divisors is an integer number (1454400423).

Almost surely, 222162291680 is an apocalyptic number.

22162291680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22162291680 is an abundant number, since it is smaller than the sum of its proper divisors (47648928624).

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

22162291680 is a wasteful number, since it uses less digits than its factorization.

22162291680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46171459 (or 46171451 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 22162291680 in words is "twenty-two billion, one hundred sixty-two million, two hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 46171441 92342882 138514323 184685764 230857205 277028646 369371528 461714410 554057292 692571615 738743056 923428820 1108114584 1385143230 1477486112 1846857640 2216229168 2770286460 3693715280 4432458336 5540572920 7387430560 11081145840 22162291680