22213000 has 64 divisors (see below), whose sum is σ = 52743600. Its totient is φ = 8755200.

The previous prime is 22212997. The next prime is 22213007. The reversal of 22213000 is 31222.

It can be written as a sum of positive squares in 8 ways, for example, as 3602404 + 18610596 = 1898^2 + 4314^2 .

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 (22213007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96886 + ... + 97114.

Almost surely, 2^22213000 is an apocalyptic number.

22213000 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 22213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26371800).

22213000 is an abundant number, since it is smaller than the sum of its proper divisors (30530600).

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

22213000 is a wasteful number, since it uses less digits than its factorization.

22213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

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

The square root of 22213000 is about 4713.0669420241. The cubic root of 22213000 is about 281.1053247687.

Adding to 22213000 its reverse (31222), we get a palindrome (22244222).

The spelling of 22213000 in words is "twenty-two million, two hundred thirteen thousand".