227506240 has 112 divisors (see below), whose sum is σ = 617933232. Its totient is φ = 79036416.

The previous prime is 227506231. The next prime is 227506243. The reversal of 227506240 is 42605722.

227506240 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 8 ways, for example, as 2985984 + 224520256 = 1728^2 + 14984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 227506199 and 227506208.

It is not an unprimeable number, because it can be changed into a prime (227506243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69112 + ... + 72328.

It is an arithmetic number, because the mean of its divisors is an integer number (5517261).

Almost surely, 2^227506240 is an apocalyptic number.

227506240 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 227506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308966616).

227506240 is an abundant number, since it is smaller than the sum of its proper divisors (390426992).

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

227506240 is a wasteful number, since it uses less digits than its factorization.

227506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 227506240 is about 15083.3099815657. The cubic root of 227506240 is about 610.4701562128.

The spelling of 227506240 in words is "two hundred twenty-seven million, five hundred six thousand, two hundred forty".