22244100 has 72 divisors (see below), whose sum is σ = 65620800. Its totient is φ = 5815680.

The previous prime is 22244093. The next prime is 22244111. The reversal of 22244100 is 144222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22244100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15201 + ... + 16599.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^22244100 is an apocalyptic number.

22244100 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 22244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

22244100 is an abundant number, since it is smaller than the sum of its proper divisors (43376700).

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

22244100 is a wasteful number, since it uses less digits than its factorization.

22244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22244100 is about 4716.3651258146. The cubic root of 22244100 is about 281.2364536685.

Adding to 22244100 its reverse (144222), we get a palindrome (22388322).

The spelling of 22244100 in words is "twenty-two million, two hundred forty-four thousand, one hundred".