229977216 has 288 divisors, whose sum is σ = 808329600. Its totient is φ = 61461504.

The previous prime is 229977199. The next prime is 229977217. The reversal of 229977216 is 612779922.

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

It is a super-2 number, since 2×229977216² = 105779039758221312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (190512) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (229977217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2911065 + ... + 2911143.

It is an arithmetic number, because the mean of its divisors is an integer number (2806700).

Almost surely, 2^229977216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404164800).

229977216 is an abundant number, since it is smaller than the sum of its proper divisors (578352384).

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

229977216 is a wasteful number, since it uses less digits than its factorization.

229977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 229977216 is about 15164.9997032641. Note that the first 3 decimals coincide. The cubic root of 229977216 is about 612.6723355686.

The spelling of 229977216 in words is "two hundred twenty-nine million, nine hundred seventy-seven thousand, two hundred sixteen".