22151120 has 40 divisors (see below), whose sum is σ = 52220616. Its totient is φ = 8736768.

The previous prime is 22151117. The next prime is 22151159. The reversal of 22151120 is 2115122.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 21418384 = 856^2 + 4628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 22151095 and 22151104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3944 + ... + 7736.

Almost surely, 2^22151120 is an apocalyptic number.

22151120 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 22151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26110308).

22151120 is an abundant number, since it is smaller than the sum of its proper divisors (30069496).

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

22151120 is a wasteful number, since it uses less digits than its factorization.

22151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 22151120 is about 4706.4976362471. The cubic root of 22151120 is about 280.8440517139.

Adding to 22151120 its reverse (2115122), we get a palindrome (24266242).

The spelling of 22151120 in words is "twenty-two million, one hundred fifty-one thousand, one hundred twenty".