229642848 has 72 divisors (see below), whose sum is σ = 654544800. Its totient is φ = 76372224.

The previous prime is 229642841. The next prime is 229642871. The reversal of 229642848 is 848246922.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×229642848² = 105471675275102208, which contains 22 as substring.

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 (229642841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206518 + ... + 207626.

It is an arithmetic number, because the mean of its divisors is an integer number (9090900).

Almost surely, 2^229642848 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 229642848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327272400).

229642848 is an abundant number, since it is smaller than the sum of its proper divisors (424901952).

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

229642848 is a wasteful number, since it uses less digits than its factorization.

229642848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1833 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 229642848 is about 15153.9713606698. The cubic root of 229642848 is about 612.3752664508.

The spelling of 229642848 in words is "two hundred twenty-nine million, six hundred forty-two thousand, eight hundred forty-eight".