229767840 has 120 divisors (see below), whose sum is σ = 810934740. Its totient is φ = 61267968.

The previous prime is 229767833. The next prime is 229767847. The reversal of 229767840 is 48767922.

It is an interprime number because it is at equal distance from previous prime (229767833) and next prime (229767847).

It can be written as a sum of positive squares in 2 ways, for example, as 229704336 + 63504 = 15156^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (229767847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4096 + ... + 21824.

Almost surely, 2^229767840 is an apocalyptic number.

229767840 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 229767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405467370).

229767840 is an abundant number, since it is smaller than the sum of its proper divisors (581166900).

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

229767840 is a wasteful number, since it uses less digits than its factorization.

229767840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17756 (or 17739 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 229767840 is about 15158.0948670999. The cubic root of 229767840 is about 612.4863492723.

The spelling of 229767840 in words is "two hundred twenty-nine million, seven hundred sixty-seven thousand, eight hundred forty".