229050400 has 72 divisors (see below), whose sum is σ = 565627860. Its totient is φ = 90562560.

The previous prime is 229050397. The next prime is 229050403. The reversal of 229050400 is 4050922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (229050397) and next prime (229050403).

It can be written as a sum of positive squares in 6 ways, for example, as 97535376 + 131515024 = 9876^2 + 11468^2 .

It is not an unprimeable number, because it can be changed into a prime (229050403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69592 + ... + 72808.

Almost surely, 2^229050400 is an apocalyptic number.

229050400 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 229050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282813930).

229050400 is an abundant number, since it is smaller than the sum of its proper divisors (336577460).

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

229050400 is a wasteful number, since it uses less digits than its factorization.

229050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 229050400 is about 15134.4111216790. The cubic root of 229050400 is about 611.8481973588.

The spelling of 229050400 in words is "two hundred twenty-nine million, fifty thousand, four hundred".