229132800 has 600 divisors, whose sum is σ = 966992796. Its totient is φ = 53084160.

The previous prime is 229132793. The next prime is 229132859. The reversal of 229132800 is 8231922.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 72182016 + 156950784 = 8496^2 + 12528^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13478392 + ... + 13478408.

Almost surely, 2^229132800 is an apocalyptic number.

229132800 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 229132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483496398).

229132800 is an abundant number, since it is smaller than the sum of its proper divisors (737859996).

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

229132800 is a wasteful number, since it uses less digits than its factorization.

229132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 229132800 is about 15137.1331499726. The cubic root of 229132800 is about 611.9215585739.

The spelling of 229132800 in words is "two hundred twenty-nine million, one hundred thirty-two thousand, eight hundred".