22077288 has 72 divisors (see below), whose sum is σ = 63576630. Its totient is φ = 6919680.

The previous prime is 22077283. The next prime is 22077353. The reversal of 22077288 is 88277022.

It can be written as a sum of positive squares in 3 ways, for example, as 22071204 + 6084 = 4698^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22077281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20278 + ... + 21338.

Almost surely, 2^22077288 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 22077288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31788315).

22077288 is an abundant number, since it is smaller than the sum of its proper divisors (41499342).

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

22077288 is a wasteful number, since it uses less digits than its factorization.

22077288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 22077288 is about 4698.6474649627. The cubic root of 22077288 is about 280.5316768634.

The spelling of 22077288 in words is "twenty-two million, seventy-seven thousand, two hundred eighty-eight".