22729080 has 128 divisors (see below), whose sum is σ = 75790080. Its totient is φ = 5406720.

The previous prime is 22729079. The next prime is 22729093. The reversal of 22729080 is 8092722.

It is a super-2 number, since 2×22729080² = 1033222155292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 88312 + ... + 88568.

It is an arithmetic number, because the mean of its divisors is an integer number (592110).

Almost surely, 2^22729080 is an apocalyptic number.

22729080 is a gapful number since it is divisible by the number (20) 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 22729080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37895040).

22729080 is an abundant number, since it is smaller than the sum of its proper divisors (53061000).

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

22729080 is a wasteful number, since it uses less digits than its factorization.

22729080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 22729080 is about 4767.5024908226. The cubic root of 22729080 is about 283.2656755022.

The spelling of 22729080 in words is "twenty-two million, seven hundred twenty-nine thousand, eighty".