227838240 has 216 divisors, whose sum is σ = 904716540. Its totient is φ = 52061184.

The previous prime is 227838227. The next prime is 227838241. The reversal of 227838240 is 42838722.

227838240 is a `hidden beast` number, since 2 + 278 + 382 + 4 + 0 = 666.

227838240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 221057424 + 6780816 = 14868^2 + 2604^2 .

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 = 227838195 and 227838204.

It is not an unprimeable number, because it can be changed into a prime (227838241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68946 + ... + 72174.

Almost surely, 2^227838240 is an apocalyptic number.

227838240 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 227838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452358270).

227838240 is an abundant number, since it is smaller than the sum of its proper divisors (676878300).

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

227838240 is a wasteful number, since it uses less digits than its factorization.

227838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 227838240 is about 15094.3115112946. The cubic root of 227838240 is about 610.7669650435.

The spelling of 227838240 in words is "two hundred twenty-seven million, eight hundred thirty-eight thousand, two hundred forty".