229957000 has 288 divisors, whose sum is σ = 711448920. Its totient is φ = 68947200.

The previous prime is 229956989. The next prime is 229957009. The reversal of 229957000 is 759922.

It can be written as a sum of positive squares in 4 ways, for example, as 31203396 + 198753604 = 5586^2 + 14098^2 .

It is not an unprimeable number, because it can be changed into a prime (229957009) 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, 12102991 + ... + 12103009.

Almost surely, 2^229957000 is an apocalyptic number.

229957000 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 229957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355724460).

229957000 is an abundant number, since it is smaller than the sum of its proper divisors (481491920).

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

229957000 is a wasteful number, since it uses less digits than its factorization.

229957000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 229957000 is about 15164.3331538185. Note that the first 3 decimals coincide. The cubic root of 229957000 is about 612.6543828527.

The spelling of 229957000 in words is "two hundred twenty-nine million, nine hundred fifty-seven thousand".