229198200 has 384 divisors, whose sum is σ = 914941440. Its totient is φ = 46464000.

The previous prime is 229198183. The next prime is 229198201. The reversal of 229198200 is 2891922.

It is a happy number.

229198200 is digitally balanced in base 2, 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229198201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5590180 + ... + 5590220.

It is an arithmetic number, because the mean of its divisors is an integer number (2382660).

Almost surely, 2^229198200 is an apocalyptic number.

229198200 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 229198200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457470720).

229198200 is an abundant number, since it is smaller than the sum of its proper divisors (685743240).

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

229198200 is a wasteful number, since it uses less digits than its factorization.

229198200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 229198200 is about 15139.2932463837. The cubic root of 229198200 is about 611.9797720684.

The spelling of 229198200 in words is "two hundred twenty-nine million, one hundred ninety-eight thousand, two hundred".