22551408 has 120 divisors (see below), whose sum is σ = 71959680. Its totient is φ = 6526080.

The previous prime is 22551391. The next prime is 22551409. The reversal of 22551408 is 80415522.

It is a happy number.

22551408 is a `hidden beast` number, since 2 + 255 + 1 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22551409) 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 23 ways as a sum of consecutive naturals, for example, 36123 + ... + 36741.

It is an arithmetic number, because the mean of its divisors is an integer number (599664).

Almost surely, 2^22551408 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 22551408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35979840).

22551408 is an abundant number, since it is smaller than the sum of its proper divisors (49408272).

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

22551408 is a wasteful number, since it uses less digits than its factorization.

22551408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 22551408 is about 4748.8322775183. The cubic root of 22551408 is about 282.5256530337.

It can be divided in two parts, 2255 and 1408, that added together give a palindrome (3663).

The spelling of 22551408 in words is "twenty-two million, five hundred fifty-one thousand, four hundred eight".