229386240 has 288 divisors, whose sum is σ = 843242400. Its totient is φ = 57507840.

The previous prime is 229386239. The next prime is 229386247. The reversal of 229386240 is 42683922.

229386240 is a `hidden beast` number, since 2 + 29 + 3 + 8 + 624 + 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 = 229386195 and 229386204.

It is not an unprimeable number, because it can be changed into a prime (229386247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750975 + ... + 1751105.

It is an arithmetic number, because the mean of its divisors is an integer number (2927925).

Almost surely, 2^229386240 is an apocalyptic number.

229386240 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 229386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421621200).

229386240 is an abundant number, since it is smaller than the sum of its proper divisors (613856160).

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

229386240 is a wasteful number, since it uses less digits than its factorization.

229386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

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

The square root of 229386240 is about 15145.5023026640. The cubic root of 229386240 is about 612.1470875477.

The spelling of 229386240 in words is "two hundred twenty-nine million, three hundred eighty-six thousand, two hundred forty".