227770400 has 216 divisors, whose sum is σ = 661840452. Its totient is φ = 76032000.

The previous prime is 227770399. The next prime is 227770421. The reversal of 227770400 is 4077722.

It can be written as a sum of positive squares in 6 ways, for example, as 2650384 + 225120016 = 1628^2 + 15004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1258310 + ... + 1258490.

Almost surely, 2^227770400 is an apocalyptic number.

227770400 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 227770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330920226).

227770400 is an abundant number, since it is smaller than the sum of its proper divisors (434070052).

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

227770400 is a wasteful number, since it uses less digits than its factorization.

227770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 29.

The square root of 227770400 is about 15092.0641398054. The cubic root of 227770400 is about 610.7063393645.

The spelling of 227770400 in words is "two hundred twenty-seven million, seven hundred seventy thousand, four hundred".