227366400 has 240 divisors, whose sum is σ = 779378688. Its totient is φ = 58368000.

The previous prime is 227366387. The next prime is 227366411. The reversal of 227366400 is 4663722.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190305 + ... + 1190495.

Almost surely, 2^227366400 is an apocalyptic number.

227366400 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 227366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389689344).

227366400 is an abundant number, since it is smaller than the sum of its proper divisors (552012288).

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

227366400 is a wasteful number, since it uses less digits than its factorization.

227366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 227366400 is about 15078.6736817268. The cubic root of 227366400 is about 610.3450524742.

The spelling of 227366400 in words is "two hundred twenty-seven million, three hundred sixty-six thousand, four hundred".