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22182343680 = 2103571032003
BaseRepresentation
bin10100101010001010…
…111011010000000000
32010020220222210222110
4110222022323100000
5330412134444210
614105044335320
71413461544630
oct245212732000
963226883873
1022182343680
11945339a142
1243709a4540
132126866863
1411060886c0
1589c64b420
hex52a2bb400

22182343680 has 352 divisors, whose sum is σ = 81912489984. Its totient is φ = 5018517504.

The previous prime is 22182343627. The next prime is 22182343697. The reversal of 22182343680 is 8634328122.

It is a super-2 number, since 2×221823436802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 11073559 + ... + 11075561.

Almost surely, 222182343680 is an apocalyptic number.

22182343680 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 22182343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40956244992).

22182343680 is an abundant number, since it is smaller than the sum of its proper divisors (59730146304).

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

22182343680 is a wasteful number, since it uses less digits than its factorization.

22182343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 22182343680 in words is "twenty-two billion, one hundred eighty-two million, three hundred forty-three thousand, six hundred eighty".