22312000 has 56 divisors (see below), whose sum is σ = 55275480. Its totient is φ = 8921600.

The previous prime is 22311997. The next prime is 22312009. The reversal of 22312000 is 21322.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 21827584 = 696^2 + 4672^2 .

It is a super-3 number, since 3×22312000³ (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 (22312009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6606 + ... + 9394.

Almost surely, 2^22312000 is an apocalyptic number.

22312000 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 22312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637740).

22312000 is an abundant number, since it is smaller than the sum of its proper divisors (32963480).

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

22312000 is an equidigital number, since it uses as much as digits as its factorization.

22312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2796 counting only the distinct ones).

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

The square root of 22312000 is about 4723.5579810139. The cubic root of 22312000 is about 281.5223206023.

Adding to 22312000 its reverse (21322), we get a palindrome (22333322).

The spelling of 22312000 in words is "twenty-two million, three hundred twelve thousand".