228546743782100 has 36 divisors (see below), whose sum is σ = 495997580427804. Its totient is φ = 91409269601280.

The previous prime is 228546743782087. The next prime is 228546743782117. The reversal of 228546743782100 is 1287347645822.

It can be written as a sum of positive squares in 6 ways, for example, as 21945964361104 + 206600779420996 = 4684652^2 + 14373614^2 .

It is a super-2 number, since 2×228546743782100² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228546743782100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116874347 + ... + 118813746.

It is an arithmetic number, because the mean of its divisors is an integer number (13777710567439).

Almost surely, 2^{228546743782100} is an apocalyptic number.

228546743782100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228546743782100 is an abundant number, since it is smaller than the sum of its proper divisors (267450836645704).

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

228546743782100 is a wasteful number, since it uses less digits than its factorization.

228546743782100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235697804 (or 235697797 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 59.

The spelling of 228546743782100 in words is "two hundred twenty-eight trillion, five hundred forty-six billion, seven hundred forty-three million, seven hundred eighty-two thousand, one hundred".