22306900 has 72 divisors (see below), whose sum is σ = 60371136. Its totient is φ = 6950400.

The previous prime is 22306891. The next prime is 22306919. The reversal of 22306900 is 960322.

It is a super-2 number, since 2×22306900² = 995195575220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 6252 + ... + 9148.

It is an arithmetic number, because the mean of its divisors is an integer number (838488).

Almost surely, 2^22306900 is an apocalyptic number.

22306900 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 22306900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30185568).

22306900 is an abundant number, since it is smaller than the sum of its proper divisors (38064236).

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

22306900 is a wasteful number, since it uses less digits than its factorization.

22306900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 22306900 is about 4723.0181028660. The cubic root of 22306900 is about 281.5008691675.

The spelling of 22306900 in words is "twenty-two million, three hundred six thousand, nine hundred".