229634496 has 252 divisors, whose sum is σ = 816967632. Its totient is φ = 60383232.

The previous prime is 229634459. The next prime is 229634497. The reversal of 229634496 is 694436922.

229634496 is a `hidden beast` number, since 2 + 2 + 9 + 634 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 (229634497) 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, 681240 + ... + 681576.

Almost surely, 2^229634496 is an apocalyptic number.

229634496 is a gapful number since it is divisible by the number (26) 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 229634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408483816).

229634496 is an abundant number, since it is smaller than the sum of its proper divisors (587333136).

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

229634496 is a wasteful number, since it uses less digits than its factorization.

229634496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 362 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 229634496 is about 15153.6957868370. The cubic root of 229634496 is about 612.3678424294.

The spelling of 229634496 in words is "two hundred twenty-nine million, six hundred thirty-four thousand, four hundred ninety-six".