22278400 has 81 divisors (see below), whose sum is σ = 56092981. Its totient is φ = 8760320.

The previous prime is 22278383. The next prime is 22278407. The reversal of 22278400 is 487222.

The square root of 22278400 is 4720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8020224 + 14258176 = 2832^2 + 3776^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22278407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 377571 + ... + 377629.

Almost surely, 2^22278400 is an apocalyptic number.

22278400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22278400 is the 4720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22278400

22278400 is an abundant number, since it is smaller than the sum of its proper divisors (33814581).

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

22278400 is an frugal number, since it uses more digits than its factorization.

22278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The cubic root of 22278400 is about 281.3809332745.

Multiplying 22278400 by its sum of digits (25), we get a square (556960000 = 23600²).

22278400 divided by its sum of digits (25) gives a square (891136 = 944²).

The spelling of 22278400 in words is "twenty-two million, two hundred seventy-eight thousand, four hundred".