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22006080 = 26355283
BaseRepresentation
bin101001111110…
…0100101000000
31112102000200000
41103330211000
521113143310
62103400000
7355022445
oct123744500
945360600
1022006080
1111470548
127453000
134736565
142ccb9cc
151dea4c0
hex14fc940

22006080 has 168 divisors, whose sum is σ = 78772512. Its totient is φ = 5847552.

The previous prime is 22006079. The next prime is 22006093. The reversal of 22006080 is 8060022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77619 + ... + 77901.

It is an arithmetic number, because the mean of its divisors is an integer number (468884).

Almost surely, 222006080 is an apocalyptic number.

22006080 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 22006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39386256).

22006080 is an abundant number, since it is smaller than the sum of its proper divisors (56766432).

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

22006080 is an equidigital number, since it uses as much as digits as its factorization.

22006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22006080 is about 4691.0638452274. The cubic root of 22006080 is about 280.2297434140.

The spelling of 22006080 in words is "twenty-two million, six thousand, eighty".