227071310400 has 945 divisors, whose sum is σ = 936387768953. Its totient is φ = 52150348800.

The previous prime is 227071310393. The next prime is 227071310447. The reversal of 227071310400 is 4013170722.

It is a happy number.

The square root of 227071310400 is 476520.

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

227071310400 is a `hidden beast` number, since 227 + 0 + 7 + 1 + 31 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81745671744 + 145325638656 = 285912^2 + 381216^2 .

It is a super-2 number, since 2×227071310400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11951121591 + ... + 11951121609.

Almost surely, 2^227071310400 is an apocalyptic number.

227071310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

227071310400 is the 476520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227071310400

227071310400 is an abundant number, since it is smaller than the sum of its proper divisors (709316458553).

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

227071310400 is an equidigital number, since it uses as much as digits as its factorization.

227071310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 227071310400 in words is "two hundred twenty-seven billion, seventy-one million, three hundred ten thousand, four hundred".