2231315100 has 720 divisors, whose sum is σ = 9074419200. Its totient is φ = 463034880.

The previous prime is 2231315089. The next prime is 2231315101. The reversal of 2231315100 is 15131322.

2231315100 is a `hidden beast` number, since 2 + 23 + 131 + 510 + 0 = 666.

It is a super-3 number, since 3×2231315100³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231315101) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 37818871 + ... + 37818929.

It is an arithmetic number, because the mean of its divisors is an integer number (12603360).

Almost surely, 2^2231315100 is an apocalyptic number.

2231315100 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 2231315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537209600).

2231315100 is an abundant number, since it is smaller than the sum of its proper divisors (6843104100).

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

2231315100 is a wasteful number, since it uses less digits than its factorization.

2231315100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2231315100 is about 47236.7981556752. The cubic root of 2231315100 is about 1306.7333289201.

Adding to 2231315100 its reverse (15131322), we get a palindrome (2246446422).

The spelling of 2231315100 in words is "two billion, two hundred thirty-one million, three hundred fifteen thousand, one hundred".