227506400 has 144 divisors (see below), whose sum is σ = 614210688. Its totient is φ = 81600000.

The previous prime is 227506379. The next prime is 227506459. The reversal of 227506400 is 4605722.

It is a self number, because there is not a number n which added to its sum of digits gives 227506400.

It is a congruent number.

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, 906275 + ... + 906525.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^227506400 is an apocalyptic number.

227506400 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 227506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344).

227506400 is an abundant number, since it is smaller than the sum of its proper divisors (386704288).

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

227506400 is a wasteful number, since it uses less digits than its factorization.

227506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 227506400 is about 15083.3152854404. The cubic root of 227506400 is about 610.4702993227.

The spelling of 227506400 in words is "two hundred twenty-seven million, five hundred six thousand, four hundred".