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22643126880 = 25351121721971
BaseRepresentation
bin10101000101101000…
…101011001001100000
32011110001001000200220
4111011220223021200
5332333120030010
614222504443040
71431055255113
oct250550531140
964401030626
1022643126880
11966a500400
12447b179480
13219b16a73a
14114b35257a
158c7d19970
hex545a2b260

22643126880 has 864 divisors, whose sum is σ = 88900519680. Its totient is φ = 4825497600.

The previous prime is 22643126819. The next prime is 22643126887. The reversal of 22643126880 is 8862134622.

It is a super-2 number, since 2×226431268802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22643126887) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 318917245 + ... + 318917315.

It is an arithmetic number, because the mean of its divisors is an integer number (102894120).

Almost surely, 222643126880 is an apocalyptic number.

22643126880 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 22643126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44450259840).

22643126880 is an abundant number, since it is smaller than the sum of its proper divisors (66257392800).

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

22643126880 is a wasteful number, since it uses less digits than its factorization.

22643126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 22643126880 in words is "twenty-two billion, six hundred forty-three million, one hundred twenty-six thousand, eight hundred eighty".