229862713600 has 243 divisors, whose sum is σ = 617417057649. Its totient is φ = 84688281600.

The previous prime is 229862713579. The next prime is 229862713603. The reversal of 229862713600 is 6317268922.

The square root of 229862713600 is 479440.

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 228759410944 + 1103302656 = 478288^2 + 33216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (229862713603) 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, 498617370 + ... + 498617830.

Almost surely, 2^229862713600 is an apocalyptic number.

229862713600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

229862713600 is the 479440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229862713600

229862713600 is an abundant number, since it is smaller than the sum of its proper divisors (387554344049).

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

229862713600 is an frugal number, since it uses more digits than its factorization.

229862713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 229862713600 in words is "two hundred twenty-nine billion, eight hundred sixty-two million, seven hundred thirteen thousand, six hundred".