229819680 has 288 divisors, whose sum is σ = 851969664. Its totient is φ = 58392576.

The previous prime is 229819679. The next prime is 229819697. The reversal of 229819680 is 86918922.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 894112 + ... + 894368.

It is an arithmetic number, because the mean of its divisors is an integer number (2958228).

Almost surely, 2^229819680 is an apocalyptic number.

229819680 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 229819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425984832).

229819680 is an abundant number, since it is smaller than the sum of its proper divisors (622149984).

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

229819680 is a wasteful number, since it uses less digits than its factorization.

229819680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 229819680 is about 15159.8047480830. The cubic root of 229819680 is about 612.5324086697.

The spelling of 229819680 in words is "two hundred twenty-nine million, eight hundred nineteen thousand, six hundred eighty".