229055400 has 360 divisors, whose sum is σ = 914330430. Its totient is φ = 51367680.

The previous prime is 229055377. The next prime is 229055423. The reversal of 229055400 is 4550922.

229055400 is a `hidden beast` number, since 22 + 90 + 554 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (229055377) and next prime (229055423).

It can be written as a sum of positive squares in 3 ways, for example, as 190937124 + 38118276 = 13818^2 + 6174^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4321774 + ... + 4321826.

Almost surely, 2^229055400 is an apocalyptic number.

229055400 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 229055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457165215).

229055400 is an abundant number, since it is smaller than the sum of its proper divisors (685275030).

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

229055400 is a wasteful number, since it uses less digits than its factorization.

229055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 229055400 is about 15134.5763072509. The cubic root of 229055400 is about 611.8526493902.

The spelling of 229055400 in words is "two hundred twenty-nine million, fifty-five thousand, four hundred".