227888640 has 400 divisors, whose sum is σ = 938770272. Its totient is φ = 51757056.

The previous prime is 227888627. The next prime is 227888729. The reversal of 227888640 is 46888722.

227888640 = T₃₃₅ + T₃₃₆ + ... + T₁₁₁₉.

It is a happy number.

227888640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 1451442 + ... + 1451598.

Almost surely, 2^227888640 is an apocalyptic number.

227888640 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 227888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469385136).

227888640 is an abundant number, since it is smaller than the sum of its proper divisors (710881632).

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

227888640 is an equidigital number, since it uses as much as digits as its factorization.

227888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 227888640 is about 15095.9809220865. The cubic root of 227888640 is about 610.8119975565.

The spelling of 227888640 in words is "two hundred twenty-seven million, eight hundred eighty-eight thousand, six hundred forty".