22151168 has 54 divisors (see below), whose sum is σ = 47972169. Its totient is φ = 10223616.

The previous prime is 22151167. The next prime is 22151201. The reversal of 22151168 is 86115122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 18939904 + 3211264 = 4352^2 + 1792^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3328.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Duffinian number.

Its product of digits (960) is a multiple of the sum of its prime divisors (15).

It is not an unprimeable number, because it can be changed into a prime (22151161) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1703930 + ... + 1703942.

Almost surely, 2^22151168 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 22151168

22151168 is an abundant number, since it is smaller than the sum of its proper divisors (25821001).

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

22151168 is an frugal number, since it uses more digits than its factorization.

22151168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 15 counting only the distinct ones).

The product of its digits is 960, while the sum is 26.

The square root of 22151168 is about 4706.5027355777. The cubic root of 22151168 is about 280.8442545705.

Multiplying 22151168 by its sum of digits (26), we get a cube (575930368 = 832³).

The spelling of 22151168 in words is "twenty-two million, one hundred fifty-one thousand, one hundred sixty-eight".