229473216 has 224 divisors, whose sum is σ = 786140160. Its totient is φ = 64281600.

The previous prime is 229473173. The next prime is 229473217. The reversal of 229473216 is 612374922.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×229473216² = 105315913722765312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229473217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737701 + ... + 738011.

Almost surely, 2^229473216 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 229473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393070080).

229473216 is an abundant number, since it is smaller than the sum of its proper divisors (556666944).

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

229473216 is a wasteful number, since it uses less digits than its factorization.

229473216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 229473216 is about 15148.3733780231. The cubic root of 229473216 is about 612.2244467030.

The spelling of 229473216 in words is "two hundred twenty-nine million, four hundred seventy-three thousand, two hundred sixteen".