22633440 has 96 divisors (see below), whose sum is σ = 72557856. Its totient is φ = 5928960.

The previous prime is 22633439. The next prime is 22633447. The reversal of 22633440 is 4433622.

It is a happy number.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22633440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22633447) 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 15 ways as a sum of consecutive naturals, for example, 28894 + ... + 29666.

It is an arithmetic number, because the mean of its divisors is an integer number (755811).

Almost surely, 2^22633440 is an apocalyptic number.

22633440 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 22633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36278928).

22633440 is an abundant number, since it is smaller than the sum of its proper divisors (49924416).

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

22633440 is a wasteful number, since it uses less digits than its factorization.

22633440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 22633440 is about 4757.4615079893. The cubic root of 22633440 is about 282.8678060901.

The spelling of 22633440 in words is "twenty-two million, six hundred thirty-three thousand, four hundred forty".