66223300 has 108 divisors (see below), whose sum is σ = 170510788. Its totient is φ = 22176000.

The previous prime is 66223291. The next prime is 66223307. The reversal of 66223300 is 332266.

It can be written as a sum of positive squares in 6 ways, for example, as 27185796 + 39037504 = 5214^2 + 6248^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66223307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157090 + ... + 157510.

Almost surely, 2^66223300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85255394).

66223300 is an abundant number, since it is smaller than the sum of its proper divisors (104287488).

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

66223300 is a wasteful number, since it uses less digits than its factorization.

66223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 66223300 is about 8137.7699647999. The cubic root of 66223300 is about 404.5792510968.

Adding to 66223300 its reverse (332266), we get a palindrome (66555566).

The spelling of 66223300 in words is "sixty-six million, two hundred twenty-three thousand, three hundred".