227238741313600 has 189 divisors, whose sum is σ = 562295991078997. Its totient is φ = 90386824622080.

The previous prime is 227238741313531. The next prime is 227238741313603. The reversal of 227238741313600 is 6313147832722.

The square root of 227238741313600 is 15074440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3995937032256 + 223242804281344 = 1998984^2 + 14941312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (227238741313603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118786586244 + ... + 118786588156.

Almost surely, 2^{227238741313600} is an apocalyptic number.

227238741313600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

227238741313600 is the 15074440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227238741313600

227238741313600 is an abundant number, since it is smaller than the sum of its proper divisors (335057249765397).

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

227238741313600 is an frugal number, since it uses more digits than its factorization.

227238741313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 227238741313600 in words is "two hundred twenty-seven trillion, two hundred thirty-eight billion, seven hundred forty-one million, three hundred thirteen thousand, six hundred".