227412900 has 576 divisors, whose sum is σ = 933273600. Its totient is φ = 46656000.

The previous prime is 227412883. The next prime is 227412907. The reversal of 227412900 is 9214722.

227412900 = T₂₇₉ + T₂₈₀ + ... + T₁₁₁₄.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227412907) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 7335885 + ... + 7335915.

Almost surely, 2^227412900 is an apocalyptic number.

227412900 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 227412900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466636800).

227412900 is an abundant number, since it is smaller than the sum of its proper divisors (705860700).

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

227412900 is a wasteful number, since it uses less digits than its factorization.

227412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 227412900 is about 15080.2155157014. The cubic root of 227412900 is about 610.3866580212.

The spelling of 227412900 in words is "two hundred twenty-seven million, four hundred twelve thousand, nine hundred".