22248864 has 96 divisors (see below), whose sum is σ = 70822080. Its totient is φ = 6739200.

The previous prime is 22248857. The next prime is 22248871. The reversal of 22248864 is 46884222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22248857) and next prime (22248871).

It is a tau number, because it is divible by the number of its divisors (96).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8334 + ... + 10674.

It is an arithmetic number, because the mean of its divisors is an integer number (737730).

Almost surely, 2^22248864 is an apocalyptic number.

22248864 is a gapful number since it is divisible by the number (24) 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 22248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35411040).

22248864 is an abundant number, since it is smaller than the sum of its proper divisors (48573216).

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

22248864 is a wasteful number, since it uses less digits than its factorization.

22248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2357 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 22248864 is about 4716.8701487321. The cubic root of 22248864 is about 281.2565296262.

The spelling of 22248864 in words is "twenty-two million, two hundred forty-eight thousand, eight hundred sixty-four".