229624128 has 168 divisors, whose sum is σ = 688083968. Its totient is φ = 73156608.

The previous prime is 229624091. The next prime is 229624141. The reversal of 229624128 is 821426922.

229624128 is a `hidden beast` number, since 2 + 2 + 9 + 624 + 1 + 28 = 666.

229624128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 junction number, because it is equal to n+sod(n) for n = 229624092 and 229624101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1808001 + ... + 1808127.

Almost surely, 2^229624128 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 229624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344041984).

229624128 is an abundant number, since it is smaller than the sum of its proper divisors (458459840).

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

229624128 is a wasteful number, since it uses less digits than its factorization.

229624128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 229624128 is about 15153.3536882104. The cubic root of 229624128 is about 612.3586261524.

The spelling of 229624128 in words is "two hundred twenty-nine million, six hundred twenty-four thousand, one hundred twenty-eight".