225662346 has 72 divisors (see below), whose sum is σ = 612543204. Its totient is φ = 59512320.

The previous prime is 225662341. The next prime is 225662347. The reversal of 225662346 is 643266522.

225662346 is a `hidden beast` number, since 2 + 25 + 6 + 623 + 4 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221682321 + 3980025 = 14889^2 + 1995^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225662346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225662341) 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, 1626 + ... + 21306.

Almost surely, 2^225662346 is an apocalyptic number.

225662346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225662346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306271602).

225662346 is an abundant number, since it is smaller than the sum of its proper divisors (386880858).

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

225662346 is a wasteful number, since it uses less digits than its factorization.

225662346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19716 (or 19706 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 225662346 is about 15022.0619756410. The cubic root of 225662346 is about 608.8164329817.

The spelling of 225662346 in words is "two hundred twenty-five million, six hundred sixty-two thousand, three hundred forty-six".