229253840 has 80 divisors (see below), whose sum is σ = 570298320. Its totient is φ = 85401600.

The previous prime is 229253831. The next prime is 229253851. The reversal of 229253840 is 48352922.

It can be written as a sum of positive squares in 8 ways, for example, as 32581264 + 196672576 = 5708^2 + 14024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 229253840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136526 + ... + 138194.

It is an arithmetic number, because the mean of its divisors is an integer number (7128729).

Almost surely, 2^229253840 is an apocalyptic number.

229253840 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 229253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285149160).

229253840 is an abundant number, since it is smaller than the sum of its proper divisors (341044480).

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

229253840 is a wasteful number, since it uses less digits than its factorization.

229253840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 229253840 is about 15141.1307371676. The cubic root of 229253840 is about 612.0292893269.

The spelling of 229253840 in words is "two hundred twenty-nine million, two hundred fifty-three thousand, eight hundred forty".