22742100 has 72 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 6063840.

The previous prime is 22742059. The next prime is 22742113. The reversal of 22742100 is 124722.

It is a super-2 number, since 2×22742100² = 1034406224820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1512 + ... + 6911.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^22742100 is an apocalyptic number.

22742100 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 22742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

22742100 is an abundant number, since it is smaller than the sum of its proper divisors (50378220).

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

22742100 is a wasteful number, since it uses less digits than its factorization.

22742100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8446 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22742100 is about 4768.8677901573. The cubic root of 22742100 is about 283.3197532899.

Adding to 22742100 its reverse (124722), we get a palindrome (22866822).

The spelling of 22742100 in words is "twenty-two million, seven hundred forty-two thousand, one hundred".