223785763600 has 405 divisors, whose sum is σ = 652233189951. Its totient is φ = 73570291200.

The previous prime is 223785763559. The next prime is 223785763603. The reversal of 223785763600 is 6367587322.

The square root of 223785763600 is 473060.

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 820478736 + 222965284864 = 28644^2 + 472192^2 .

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

It is not an unprimeable number, because it can be changed into a prime (223785763603) 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, 2053080346 + ... + 2053080454.

Almost surely, 2^223785763600 is an apocalyptic number.

223785763600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

223785763600 is the 473060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223785763600

223785763600 is an abundant number, since it is smaller than the sum of its proper divisors (428447426351).

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

223785763600 is a wasteful number, since it uses less digits than its factorization.

223785763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 154 counting only the distinct ones).

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

Multiplying 223785763600 by its sum of digits (49), we get a square (10965502416400 = 3311420²).

223785763600 divided by its sum of digits (49) gives a square (4567056400 = 67580²).

The spelling of 223785763600 in words is "two hundred twenty-three billion, seven hundred eighty-five million, seven hundred sixty-three thousand, six hundred".