22320100 has 72 divisors (see below), whose sum is σ = 53621568. Its totient is φ = 7996800.

The previous prime is 22320059. The next prime is 22320101. The reversal of 22320100 is 102322.

It is a super-3 number, since 3×22320100³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22320101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113202 + ... + 113398.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 2^22320100 is an apocalyptic number.

22320100 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 22320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810784).

22320100 is an abundant number, since it is smaller than the sum of its proper divisors (31301468).

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

22320100 is a wasteful number, since it uses less digits than its factorization.

22320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 22320100 is about 4724.4153077391. The cubic root of 22320100 is about 281.5563838106.

Adding to 22320100 its reverse (102322), we get a palindrome (22422422).

The spelling of 22320100 in words is "twenty-two million, three hundred twenty thousand, one hundred".