22266000 has 120 divisors (see below), whose sum is σ = 77830584. Its totient is φ = 5932800.

The previous prime is 22265987. The next prime is 22266017. The reversal of 22266000 is 66222.

22266000 is a `hidden beast` number, since 2 + 2 + 2 + 660 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 22127616 = 372^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

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, 17382 + ... + 18618.

Almost surely, 2^22266000 is an apocalyptic number.

22266000 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 22266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38915292).

22266000 is an abundant number, since it is smaller than the sum of its proper divisors (55564584).

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

22266000 is a wasteful number, since it uses less digits than its factorization.

22266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22266000 is about 4718.6862578476. The cubic root of 22266000 is about 281.3287187062.

The spelling of 22266000 in words is "twenty-two million, two hundred sixty-six thousand".