264226000 has 40 divisors (see below), whose sum is σ = 638903304. Its totient is φ = 105689600.

The previous prime is 264225947. The next prime is 264226033. The reversal of 264226000 is 622462.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36336784 + 227889216 = 6028^2 + 15096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 64057 + ... + 68056.

Almost surely, 2^264226000 is an apocalyptic number.

264226000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264226000 is an abundant number, since it is smaller than the sum of its proper divisors (374677304).

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

264226000 is a wasteful number, since it uses less digits than its factorization.

264226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132136 (or 132120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 264226000 is about 16255.0299907444. The cubic root of 264226000 is about 641.6898700404.

Adding to 264226000 its reverse (622462), we get a palindrome (264848462).

The spelling of 264226000 in words is "two hundred sixty-four million, two hundred twenty-six thousand".