2223013100 has 288 divisors, whose sum is σ = 6346260480. Its totient is φ = 655776000.

The previous prime is 2223013087. The next prime is 2223013103. The reversal of 2223013100 is 13103222.

It is a happy number.

It is a super-3 number, since 3×2223013100³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2223013103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15992831 + ... + 15992969.

Almost surely, 2^2223013100 is an apocalyptic number.

2223013100 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 2223013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173130240).

2223013100 is an abundant number, since it is smaller than the sum of its proper divisors (4123247380).

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

2223013100 is a wasteful number, since it uses less digits than its factorization.

2223013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2223013100 is about 47148.8398584737. The cubic root of 2223013100 is about 1305.1106711190.

Adding to 2223013100 its reverse (13103222), we get a palindrome (2236116322).

The spelling of 2223013100 in words is "two billion, two hundred twenty-three million, thirteen thousand, one hundred".