22729140 has 144 divisors (see below), whose sum is σ = 82353600. Its totient is φ = 5189184.

The previous prime is 22729123. The next prime is 22729151. The reversal of 22729140 is 4192722.

It is a super-2 number, since 2×22729140² = 1033227610279200, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 26031 + ... + 26889.

It is an arithmetic number, because the mean of its divisors is an integer number (571900).

Almost surely, 2^22729140 is an apocalyptic number.

22729140 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 22729140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41176800).

22729140 is an abundant number, since it is smaller than the sum of its proper divisors (59624460).

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

22729140 is a wasteful number, since it uses less digits than its factorization.

22729140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 22729140 is about 4767.5087834214. The cubic root of 22729140 is about 283.2659247559.

The spelling of 22729140 in words is "twenty-two million, seven hundred twenty-nine thousand, one hundred forty".