229346964 has 240 divisors, whose sum is σ = 775716480. Its totient is φ = 57335040.

The previous prime is 229346951. The next prime is 229347049. The reversal of 229346964 is 469643922.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 723334 + ... + 723650.

It is an arithmetic number, because the mean of its divisors is an integer number (3232152).

Almost surely, 2^229346964 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 229346964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387858240).

229346964 is an abundant number, since it is smaller than the sum of its proper divisors (546369516).

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

229346964 is a wasteful number, since it uses less digits than its factorization.

229346964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

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

The square root of 229346964 is about 15144.2056245945. The cubic root of 229346964 is about 612.1121478446.

The spelling of 229346964 in words is "two hundred twenty-nine million, three hundred forty-six thousand, nine hundred sixty-four".