228551400 has 576 divisors, whose sum is σ = 1023684480. Its totient is φ = 44236800.

The previous prime is 228551381. The next prime is 228551413. The reversal of 228551400 is 4155822.

It is a happy number.

228551400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2356152 + ... + 2356248.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^228551400 is an apocalyptic number.

228551400 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 228551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

228551400 is an abundant number, since it is smaller than the sum of its proper divisors (795133080).

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

228551400 is a wasteful number, since it uses less digits than its factorization.

228551400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 228551400 is about 15117.9165231192. The cubic root of 228551400 is about 611.4035583435.

The spelling of 228551400 in words is "two hundred twenty-eight million, five hundred fifty-one thousand, four hundred".