229494240 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 57507840.

The previous prime is 229494211. The next prime is 229494241. The reversal of 229494240 is 42494922.

229494240 is a `hidden beast` number, since 229 + 4 + 9 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229494195 and 229494204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229494241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365872 + ... + 2365968.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^229494240 is an apocalyptic number.

229494240 is a gapful number since it is divisible by the number (20) 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 229494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

229494240 is an abundant number, since it is smaller than the sum of its proper divisors (602662176).

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

229494240 is a wasteful number, since it uses less digits than its factorization.

229494240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 229494240 is about 15149.0672980220. The cubic root of 229494240 is about 612.2431431678.

The spelling of 229494240 in words is "two hundred twenty-nine million, four hundred ninety-four thousand, two hundred forty".