22819968 has 160 divisors (see below), whose sum is σ = 71089920. Its totient is φ = 7257600.

The previous prime is 22819963. The next prime is 22819981. The reversal of 22819968 is 86991822.

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

Its product of digits (124416) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22819963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321373 + ... + 321443.

It is an arithmetic number, because the mean of its divisors is an integer number (444312).

Almost surely, 2^22819968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35544960).

22819968 is an abundant number, since it is smaller than the sum of its proper divisors (48269952).

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

22819968 is an equidigital number, since it uses as much as digits as its factorization.

22819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 22819968 is about 4777.0250156347. The cubic root of 22819968 is about 283.6427432669.

The spelling of 22819968 in words is "twenty-two million, eight hundred nineteen thousand, nine hundred sixty-eight".