229754880 has 240 divisors, whose sum is σ = 826485660. Its totient is φ = 61046784.

The previous prime is 229754869. The next prime is 229754911. The reversal of 229754880 is 88457922.

229754880 is a `hidden beast` number, since 2 + 29 + 7 + 548 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215737344 + 14017536 = 14688^2 + 3744^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829302 + ... + 829578.

Almost surely, 2^229754880 is an apocalyptic number.

229754880 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 229754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413242830).

229754880 is an abundant number, since it is smaller than the sum of its proper divisors (596730780).

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

229754880 is an equidigital number, since it uses as much as digits as its factorization.

229754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 229754880 is about 15157.6673667158. The cubic root of 229754880 is about 612.4748333405.

The spelling of 229754880 in words is "two hundred twenty-nine million, seven hundred fifty-four thousand, eight hundred eighty".