227376385600 has 567 divisors, whose sum is σ = 710168985171. Its totient is φ = 71411558400.

The previous prime is 227376385597. The next prime is 227376385601. The reversal of 227376385600 is 6583673722.

The square root of 227376385600 is 476840.

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

It can be written as a sum of positive squares in 4 ways, for example, as 58606599744 + 168769785856 = 242088^2 + 410816^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (227376385601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1735697535 + ... + 1735697665.

Almost surely, 2^227376385600 is an apocalyptic number.

227376385600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

227376385600 is the 476840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227376385600

227376385600 is an abundant number, since it is smaller than the sum of its proper divisors (482792599571).

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

227376385600 is a wasteful number, since it uses less digits than its factorization.

227376385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

Multiplying 227376385600 by its sum of digits (49), we get a square (11141442894400 = 3337880²).

227376385600 divided by its sum of digits (49) gives a square (4640334400 = 68120²).

The spelling of 227376385600 in words is "two hundred twenty-seven billion, three hundred seventy-six million, three hundred eighty-five thousand, six hundred".