22129824 has 48 divisors (see below), whose sum is σ = 59058720. Its totient is φ = 7253760.

The previous prime is 22129817. The next prime is 22129829. The reversal of 22129824 is 42892122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22129824² = 979458220541952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22129791 and 22129800.

It is not an unprimeable number, because it can be changed into a prime (22129829) 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, 3967 + ... + 7745.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 2^22129824 is an apocalyptic number.

22129824 is a gapful number since it is divisible by the number (24) 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 22129824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529360).

22129824 is an abundant number, since it is smaller than the sum of its proper divisors (36928896).

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

22129824 is a wasteful number, since it uses less digits than its factorization.

22129824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3845 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 22129824 is about 4704.2346880231. The cubic root of 22129824 is about 280.7540220659.

The spelling of 22129824 in words is "twenty-two million, one hundred twenty-nine thousand, eight hundred twenty-four".