22251120 has 160 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 5440512.

The previous prime is 22251107. The next prime is 22251127. The reversal of 22251120 is 2115222.

It is a super-2 number, since 2×22251120² = 990224682508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22251120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22251127) 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 31 ways as a sum of consecutive naturals, for example, 160011 + ... + 160149.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^22251120 is an apocalyptic number.

22251120 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 22251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

22251120 is an abundant number, since it is smaller than the sum of its proper divisors (52744080).

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

22251120 is a wasteful number, since it uses less digits than its factorization.

22251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 22251120 is about 4717.1092842969. The cubic root of 22251120 is about 281.2660356289.

Adding to 22251120 its reverse (2115222), we get a palindrome (24366342).

The spelling of 22251120 in words is "twenty-two million, two hundred fifty-one thousand, one hundred twenty".