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22081351680 = 2123751729
BaseRepresentation
bin10100100100001001…
…101011000000000000
32002222212221220000000
4110210021223000000
5330210311223210
614051040000000
71411124251413
oct244411530000
962885856000
1022081351680
119401390383
124343000000
13210b96668b
1410d68b9b7a
1589384cac0
hex52426b000

22081351680 has 832 divisors, whose sum is σ = 87047395200. Its totient is φ = 5350883328.

The previous prime is 22081351639. The next prime is 22081351729. The reversal of 22081351680 is 8615318022.

It is a happy number.

22081351680 is a `hidden beast` number, since 220 + 8 + 1 + 351 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 761425906 + ... + 761425934.

Almost surely, 222081351680 is an apocalyptic number.

22081351680 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 22081351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43523697600).

22081351680 is an abundant number, since it is smaller than the sum of its proper divisors (64966043520).

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

22081351680 is an frugal number, since it uses more digits than its factorization.

22081351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 22081351680 in words is "twenty-two billion, eighty-one million, three hundred fifty-one thousand, six hundred eighty".