229213224 has 96 divisors (see below), whose sum is σ = 643188000. Its totient is φ = 73685376.

The previous prime is 229213223. The next prime is 229213241. The reversal of 229213224 is 422312922.

229213224 is a `hidden beast` number, since 229 + 213 + 224 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (229213223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369987 + ... + 370605.

It is an arithmetic number, because the mean of its divisors is an integer number (6699875).

Almost surely, 2^229213224 is an apocalyptic number.

229213224 is a gapful number since it is divisible by the number (24) 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 229213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321594000).

229213224 is an abundant number, since it is smaller than the sum of its proper divisors (413974776).

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

229213224 is a wasteful number, since it uses less digits than its factorization.

229213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 800 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 229213224 is about 15139.7894305040. The cubic root of 229213224 is about 611.9931435859.

The spelling of 229213224 in words is "two hundred twenty-nine million, two hundred thirteen thousand, two hundred twenty-four".