225322263100 has 144 divisors (see below), whose sum is σ = 551640692736. Its totient is φ = 79143264000.

The previous prime is 225322263091. The next prime is 225322263137. The reversal of 225322263100 is 1362223522.

It is a happy number.

It is a super-2 number, since 2×225322263100² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 18987769 + ... + 18999631.

It is an arithmetic number, because the mean of its divisors is an integer number (3830838144).

Almost surely, 2^225322263100 is an apocalyptic number.

225322263100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225322263100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275820346368).

225322263100 is an abundant number, since it is smaller than the sum of its proper divisors (326318429636).

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

225322263100 is a wasteful number, since it uses less digits than its factorization.

225322263100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12476 (or 12469 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 225322263100 its reverse (1362223522), we get a palindrome (226684486622).

The spelling of 225322263100 in words is "two hundred twenty-five billion, three hundred twenty-two million, two hundred sixty-three thousand, one hundred".