22101300 has 108 divisors (see below), whose sum is σ = 74643660. Its totient is φ = 5437440.

The previous prime is 22101293. The next prime is 22101301. The reversal of 22101300 is 310122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2547216 + 19554084 = 1596^2 + 4422^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10756 + ... + 12644.

It is an arithmetic number, because the mean of its divisors is an integer number (691145).

Almost surely, 2^22101300 is an apocalyptic number.

22101300 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 22101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37321830).

22101300 is an abundant number, since it is smaller than the sum of its proper divisors (52542360).

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

22101300 is a wasteful number, since it uses less digits than its factorization.

22101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 22101300 is about 4701.2019739637. The cubic root of 22101300 is about 280.6333452379.

Adding to 22101300 its reverse (310122), we get a palindrome (22411422).

The spelling of 22101300 in words is "twenty-two million, one hundred one thousand, three hundred".