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22351999680 = 263353178161
BaseRepresentation
bin10100110100010010…
…000111001011000000
32010200202020020021000
4110310102013023000
5331234102442210
614133544532000
71420621601553
oct246422071300
963622206230
1022351999680
11953013720a
1243b9781000
132152a5841a
14112080c69a
158ac4aeac0
hex5344872c0

22351999680 has 224 divisors, whose sum is σ = 79111327680. Its totient is φ = 5941002240.

The previous prime is 22351999669. The next prime is 22351999717. The reversal of 22351999680 is 8699915322.

It is a happy number.

It is a super-2 number, since 2×223519996802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2734800 + ... + 2742960.

It is an arithmetic number, because the mean of its divisors is an integer number (353175570).

Almost surely, 222351999680 is an apocalyptic number.

22351999680 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 22351999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39555663840).

22351999680 is an abundant number, since it is smaller than the sum of its proper divisors (56759328000).

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

22351999680 is a wasteful number, since it uses less digits than its factorization.

22351999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 22351999680 in words is "twenty-two billion, three hundred fifty-one million, nine hundred ninety-nine thousand, six hundred eighty".