227242400 has 432 divisors, whose sum is σ = 769450752. Its totient is φ = 64512000.

The previous prime is 227242399. The next prime is 227242447. The reversal of 227242400 is 4242722.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7330385 + ... + 7330415.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^227242400 is an apocalyptic number.

227242400 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 227242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384725376).

227242400 is an abundant number, since it is smaller than the sum of its proper divisors (542208352).

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

227242400 is a wasteful number, since it uses less digits than its factorization.

227242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 227242400 is about 15074.5613534855. The cubic root of 227242400 is about 610.2340766085.

The spelling of 227242400 in words is "two hundred twenty-seven million, two hundred forty-two thousand, four hundred".