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22990968 = 233271121329
BaseRepresentation
bin101011110110…
…1000001111000
31121021001200100
41113231001320
521341202333
62140435400
7366264030
oct127550170
947231610
1022990968
1111a83500
127848b60
1349bc930
1430a68c0
152042213
hex15ed078

22990968 has 288 divisors, whose sum is σ = 87141600. Its totient is φ = 5322240.

The previous prime is 22990967. The next prime is 22990991. The reversal of 22990968 is 86909922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22990967) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 792778 + ... + 792806.

It is an arithmetic number, because the mean of its divisors is an integer number (302575).

Almost surely, 222990968 is an apocalyptic number.

22990968 is a gapful number since it is divisible by the number (28) 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 22990968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43570800).

22990968 is an abundant number, since it is smaller than the sum of its proper divisors (64150632).

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

22990968 is a wasteful number, since it uses less digits than its factorization.

22990968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 22990968 is about 4794.8897797551. The cubic root of 22990968 is about 284.3494673047.

The spelling of 22990968 in words is "twenty-two million, nine hundred ninety thousand, nine hundred sixty-eight".