229618240 has 112 divisors (see below), whose sum is σ = 573511680. Its totient is φ = 87459840.

The previous prime is 229618231. The next prime is 229618247. The reversal of 229618240 is 42816922.

229618240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×229618240² = 105449072281395200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 229618196 and 229618205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229618247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783534 + ... + 783826.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2^229618240 is an apocalyptic number.

229618240 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 229618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

229618240 is an abundant number, since it is smaller than the sum of its proper divisors (343893440).

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

229618240 is a wasteful number, since it uses less digits than its factorization.

229618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 229618240 is about 15153.1594065396. The cubic root of 229618240 is about 612.3533920939.

The spelling of 229618240 in words is "two hundred twenty-nine million, six hundred eighteen thousand, two hundred forty".