22266400 has 72 divisors (see below), whose sum is σ = 58566564. Its totient is φ = 8217600.

The previous prime is 22266383. The next prime is 22266407. The reversal of 22266400 is 466222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9960336 + 12306064 = 3156^2 + 3508^2 .

It is not an unprimeable number, because it can be changed into a prime (22266407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9330 + ... + 11470.

Almost surely, 2^22266400 is an apocalyptic number.

22266400 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 22266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29283282).

22266400 is an abundant number, since it is smaller than the sum of its proper divisors (36300164).

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

22266400 is a wasteful number, since it uses less digits than its factorization.

22266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 22266400 is about 4718.7286423358. The cubic root of 22266400 is about 281.3304033497.

The spelling of 22266400 in words is "twenty-two million, two hundred sixty-six thousand, four hundred".