229003200 has 504 divisors, whose sum is σ = 917163520. Its totient is φ = 55987200.

The previous prime is 229003199. The next prime is 229003207. The reversal of 229003200 is 2300922.

229003200 = 241³ + 242³ + ... + 255³.

229003200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×229003200² = 104884931220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229003207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7387185 + ... + 7387215.

Almost surely, 2^229003200 is an apocalyptic number.

229003200 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 229003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458581760).

229003200 is an abundant number, since it is smaller than the sum of its proper divisors (688160320).

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

229003200 is a wasteful number, since it uses less digits than its factorization.

229003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 229003200 is about 15132.8516810283. The cubic root of 229003200 is about 611.8061669893.

The spelling of 229003200 in words is "two hundred twenty-nine million, three thousand, two hundred".