22261128 has 32 divisors (see below), whose sum is σ = 56061600. Its totient is φ = 7365888.

The previous prime is 22261123. The next prime is 22261147. The reversal of 22261128 is 82116222.

22261128 is a nontrivial binomial coefficient, being equal to C(6673, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22261098 and 22261107.

It is not an unprimeable number, because it can be changed into a prime (22261123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 6672.

It is an arithmetic number, because the mean of its divisors is an integer number (1751925).

Almost surely, 2^22261128 is an apocalyptic number.

22261128 is the 6672-nd triangular number.

It is an amenable number.

22261128 is an abundant number, since it is smaller than the sum of its proper divisors (33800472).

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

22261128 is a wasteful number, since it uses less digits than its factorization.

22261128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821 (or 6817 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 22261128 is about 4718.1699842206. The cubic root of 22261128 is about 281.3081981293.

The spelling of 22261128 in words is "twenty-two million, two hundred sixty-one thousand, one hundred twenty-eight".