229178880 has 480 divisors, whose sum is σ = 957528000. Its totient is φ = 50577408.

The previous prime is 229178861. The next prime is 229178897. The reversal of 229178880 is 88871922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7902706 + ... + 7902734.

It is an arithmetic number, because the mean of its divisors is an integer number (1994850).

Almost surely, 2^229178880 is an apocalyptic number.

229178880 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 229178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478764000).

229178880 is an abundant number, since it is smaller than the sum of its proper divisors (728349120).

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

229178880 is an equidigital number, since it uses as much as digits as its factorization.

229178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 229178880 is about 15138.6551582365. The cubic root of 229178880 is about 611.9625762070.

The spelling of 229178880 in words is "two hundred twenty-nine million, one hundred seventy-eight thousand, eight hundred eighty".