229200 has 60 divisors (see below), whose sum is σ = 738048. Its totient is φ = 60800.

The previous prime is 229199. The next prime is 229213. The reversal of 229200 is 2922.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 229200.

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 11 ways as a sum of consecutive naturals, for example, 1105 + ... + 1295.

2²²⁹²⁰⁰ is an apocalyptic number.

229200 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 229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369024).

229200 is an abundant number, since it is smaller than the sum of its proper divisors (508848).

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

229200 is a wasteful number, since it uses less digits than its factorization.

229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 229200 is about 478.7483681434. The cubic root of 229200 is about 61.1981374118.

The spelling of 229200 in words is "two hundred twenty-nine thousand, two hundred".