22212000 has 144 divisors (see below), whose sum is σ = 78958152. Its totient is φ = 5913600.

The previous prime is 22211993. The next prime is 22212017. The reversal of 22212000 is 21222.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 20684304 = 1236^2 + 4548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

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, 35692 + ... + 36308.

Almost surely, 2^22212000 is an apocalyptic number.

22212000 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 22212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39479076).

22212000 is an abundant number, since it is smaller than the sum of its proper divisors (56746152).

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

22212000 is a wasteful number, since it uses less digits than its factorization.

22212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22212000 is about 4712.9608527973. The cubic root of 22212000 is about 281.1011063749.

Adding to 22212000 its reverse (21222), we get a palindrome (22233222).

The spelling of 22212000 in words is "twenty-two million, two hundred twelve thousand".