22129408 has 72 divisors (see below), whose sum is σ = 51655968. Its totient is φ = 9265152.

The previous prime is 22129361. The next prime is 22129409. The reversal of 22129408 is 80492122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (22129409) 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, 94860 + ... + 95092.

It is an arithmetic number, because the mean of its divisors is an integer number (717444).

Almost surely, 2^22129408 is an apocalyptic number.

22129408 is a gapful number since it is divisible by the number (28) 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 22129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25827984).

22129408 is an abundant number, since it is smaller than the sum of its proper divisors (29526560).

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

22129408 is an equidigital number, since it uses as much as digits as its factorization.

22129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 22129408 is about 4704.1904723342. The cubic root of 22129408 is about 280.7522628351.

The spelling of 22129408 in words is "twenty-two million, one hundred twenty-nine thousand, four hundred eight".