22629132 has 72 divisors (see below), whose sum is σ = 61315072. Its totient is φ = 7290000.

The previous prime is 22629121. The next prime is 22629143. The reversal of 22629132 is 23192622.

22629132 is a `hidden beast` number, since 2 + 2 + 629 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (22629121) and next prime (22629143).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 22629096 and 22629105.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29757 + ... + 30507.

Almost surely, 2^22629132 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 22629132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30657536).

22629132 is an abundant number, since it is smaller than the sum of its proper divisors (38685940).

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

22629132 is a wasteful number, since it uses less digits than its factorization.

22629132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 22629132 is about 4757.0087239777. The cubic root of 22629132 is about 282.8498581359.

The spelling of 22629132 in words is "twenty-two million, six hundred twenty-nine thousand, one hundred thirty-two".