229272000 has 224 divisors, whose sum is σ = 778849344. Its totient is φ = 59392000.

The previous prime is 229271989. The next prime is 229272019. The reversal of 229272000 is 272922.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983884 + ... + 984116.

It is an arithmetic number, because the mean of its divisors is an integer number (3477006).

Almost surely, 2^229272000 is an apocalyptic number.

229272000 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 229272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389424672).

229272000 is an abundant number, since it is smaller than the sum of its proper divisors (549577344).

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

229272000 is a wasteful number, since it uses less digits than its factorization.

229272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 229272000 is about 15141.7304163032. The cubic root of 229272000 is about 612.0454492284.

The spelling of 229272000 in words is "two hundred twenty-nine million, two hundred seventy-two thousand".