22963248 has 240 divisors, whose sum is σ = 85113600. Its totient is φ = 5598720.

The previous prime is 22963169. The next prime is 22963279. The reversal of 22963248 is 84236922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 210618 + ... + 210726.

It is an arithmetic number, because the mean of its divisors is an integer number (354640).

Almost surely, 2^22963248 is an apocalyptic number.

22963248 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 22963248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42556800).

22963248 is an abundant number, since it is smaller than the sum of its proper divisors (62150352).

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

22963248 is a wasteful number, since it uses less digits than its factorization.

22963248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 22963248 is about 4791.9983305506. The cubic root of 22963248 is about 284.2351421608.

The spelling of 22963248 in words is "twenty-two million, nine hundred sixty-three thousand, two hundred forty-eight".