229092864 has 320 divisors, whose sum is σ = 824947200. Its totient is φ = 54558720.

The previous prime is 229092847. The next prime is 229092893. The reversal of 229092864 is 468290922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537462 + ... + 1537610.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^229092864 is an apocalyptic number.

229092864 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 229092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

229092864 is an abundant number, since it is smaller than the sum of its proper divisors (595854336).

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

229092864 is a wasteful number, since it uses less digits than its factorization.

229092864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 229092864 is about 15135.8139523449. The cubic root of 229092864 is about 611.8860055099.

The spelling of 229092864 in words is "two hundred twenty-nine million, ninety-two thousand, eight hundred sixty-four".