22551936 has 128 divisors (see below), whose sum is σ = 69033600. Its totient is φ = 6451200.

The previous prime is 22551931. The next prime is 22551941. The reversal of 22551936 is 63915522.

It is an interprime number because it is at equal distance from previous prime (22551931) and next prime (22551941).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22551897 and 22551906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22551931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80116 + ... + 80396.

It is an arithmetic number, because the mean of its divisors is an integer number (539325).

Almost surely, 2^22551936 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 22551936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34516800).

22551936 is an abundant number, since it is smaller than the sum of its proper divisors (46481664).

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

22551936 is a wasteful number, since it uses less digits than its factorization.

22551936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 22551936 is about 4748.8878698070. The cubic root of 22551936 is about 282.5278579571.

The spelling of 22551936 in words is "twenty-two million, five hundred fifty-one thousand, nine hundred thirty-six".