225016506 has 192 divisors, whose sum is σ = 622702080. Its totient is φ = 57697920.

The previous prime is 225016459. The next prime is 225016511. The reversal of 225016506 is 605610522.

225016506 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 1 + 650 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225016506.

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 95 ways as a sum of consecutive naturals, for example, 2102905 + ... + 2103011.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^225016506 is an apocalyptic number.

225016506 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 225016506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

225016506 is an abundant number, since it is smaller than the sum of its proper divisors (397685574).

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

225016506 is a wasteful number, since it uses less digits than its factorization.

225016506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 225016506 is about 15000.5501899097. The cubic root of 225016506 is about 608.2350722049.

It can be divided in two parts, 225016 and 506, that added together give a palindrome (225522).

The spelling of 225016506 in words is "two hundred twenty-five million, sixteen thousand, five hundred six".