225201006 has 32 divisors (see below), whose sum is σ = 529886880. Its totient is φ = 70651008.

The previous prime is 225201001. The next prime is 225201007. The reversal of 225201006 is 600102522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225201001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121741 + ... + 123576.

It is an arithmetic number, because the mean of its divisors is an integer number (16558965).

Almost surely, 2^225201006 is an apocalyptic number.

225201006 is an abundant number, since it is smaller than the sum of its proper divisors (304685874).

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

225201006 is a wasteful number, since it uses less digits than its factorization.

225201006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245345 (or 245339 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225201006 is about 15006.6987042454. The cubic root of 225201006 is about 608.4012655148.

Adding to 225201006 its reverse (600102522), we get a palindrome (825303528).

The spelling of 225201006 in words is "two hundred twenty-five million, two hundred one thousand, six".