229273200 has 480 divisors, whose sum is σ = 929940480. Its totient is φ = 53222400.

The previous prime is 229273157. The next prime is 229273211. The reversal of 229273200 is 2372922.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 3229165 + ... + 3229235.

It is an arithmetic number, because the mean of its divisors is an integer number (1937376).

Almost surely, 2^229273200 is an apocalyptic number.

229273200 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 229273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464970240).

229273200 is an abundant number, since it is smaller than the sum of its proper divisors (700667280).

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

229273200 is a wasteful number, since it uses less digits than its factorization.

229273200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 229273200 is about 15141.7700418412. The cubic root of 229273200 is about 612.0465170332.

The spelling of 229273200 in words is "two hundred twenty-nine million, two hundred seventy-three thousand, two hundred".