264221000 has 32 divisors (see below), whose sum is σ = 618279480. Its totient is φ = 105688000.

The previous prime is 264220993. The next prime is 264221003. The reversal of 264221000 is 122462.

264221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 176199076 + 88021924 = 13274^2 + 9382^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 264221000.

It is not an unprimeable number, because it can be changed into a prime (264221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131111 + ... + 133110.

Almost surely, 2^264221000 is an apocalyptic number.

264221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264221000 is an abundant number, since it is smaller than the sum of its proper divisors (354058480).

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

264221000 is a wasteful number, since it uses less digits than its factorization.

264221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264242 (or 264228 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 264221000 is about 16254.8761914694. The cubic root of 264221000 is about 641.6858224075.

Adding to 264221000 its reverse (122462), we get a palindrome (264343462).

The spelling of 264221000 in words is "two hundred sixty-four million, two hundred twenty-one thousand".