229965840 has 240 divisors, whose sum is σ = 844945920. Its totient is φ = 55710720.

The previous prime is 229965833. The next prime is 229965863. The reversal of 229965840 is 48569922.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739285 + ... + 739595.

It is an arithmetic number, because the mean of its divisors is an integer number (3520608).

Almost surely, 2^229965840 is an apocalyptic number.

229965840 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 229965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422472960).

229965840 is an abundant number, since it is smaller than the sum of its proper divisors (614980080).

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

229965840 is a wasteful number, since it uses less digits than its factorization.

229965840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 229965840 is about 15164.6246244343. The cubic root of 229965840 is about 612.6622332991.

The spelling of 229965840 in words is "two hundred twenty-nine million, nine hundred sixty-five thousand, eight hundred forty".