22400768 has 72 divisors (see below), whose sum is σ = 49448448. Its totient is φ = 10063872.

The previous prime is 22400761. The next prime is 22400773. The reversal of 22400768 is 86700422.

It is a self number, because there is not a number n which added to its sum of digits gives 22400768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 176321 + ... + 176447.

It is an arithmetic number, because the mean of its divisors is an integer number (686784).

Almost surely, 2^22400768 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 22400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24724224).

22400768 is an abundant number, since it is smaller than the sum of its proper divisors (27047680).

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

22400768 is a wasteful number, since it uses less digits than its factorization.

22400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 22400768 is about 4732.9449605927. The cubic root of 22400768 is about 281.8951708681.

The spelling of 22400768 in words is "twenty-two million, four hundred thousand, seven hundred sixty-eight".