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22683130080 = 2535137974561
BaseRepresentation
bin10101001000000001…
…010001100011100000
32011112211022101202220
4111020001101203200
5332423340130310
614230454111040
71432052265402
oct251001214340
964484271686
1022683130080
1196900433a6
12449064b480
1321a6535880
1411527a6b72
158cb5bc670
hex5480518e0

22683130080 has 192 divisors, whose sum is σ = 77061595968. Its totient is φ = 5575311360.

The previous prime is 22683130033. The next prime is 22683130087. The reversal of 22683130080 is 8003138622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22683130087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4971000 + ... + 4975560.

It is an arithmetic number, because the mean of its divisors is an integer number (401362479).

Almost surely, 222683130080 is an apocalyptic number.

22683130080 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 22683130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38530797984).

22683130080 is an abundant number, since it is smaller than the sum of its proper divisors (54378465888).

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

22683130080 is a wasteful number, since it uses less digits than its factorization.

22683130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 22683130080 in words is "twenty-two billion, six hundred eighty-three million, one hundred thirty thousand, eighty".