285316222500 has 225 divisors, whose sum is σ = 932828726599. Its totient is φ = 76020228000.

The previous prime is 285316222489. The next prime is 285316222549. The reversal of 285316222500 is 5222613582.

It is a happy number.

The square root of 285316222500 is 534150.

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

285316222500 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 1 + 622 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22368791844 + 262947430656 = 149562^2 + 512784^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 240366907 + ... + 240368093.

Almost surely, 2^285316222500 is an apocalyptic number.

285316222500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

285316222500 is the 534150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285316222500

285316222500 is an abundant number, since it is smaller than the sum of its proper divisors (647512504099).

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

285316222500 is an frugal number, since it uses more digits than its factorization.

285316222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 285316222500 by its sum of digits (36), we get a square (10271384010000 = 3204900²).

285316222500 divided by its sum of digits (36) gives a square (7925450625 = 89025²).

The spelling of 285316222500 in words is "two hundred eighty-five billion, three hundred sixteen million, two hundred twenty-two thousand, five hundred".