2283272100 has 216 divisors, whose sum is σ = 7575265152. Its totient is φ = 574041600.

The previous prime is 2283272099. The next prime is 2283272119. The reversal of 2283272100 is 12723822.

It is a happy number.

2283272100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1510345 + ... + 1511855.

It is an arithmetic number, because the mean of its divisors is an integer number (35070672).

Almost surely, 2^2283272100 is an apocalyptic number.

2283272100 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 2283272100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787632576).

2283272100 is an abundant number, since it is smaller than the sum of its proper divisors (5291993052).

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

2283272100 is a wasteful number, since it uses less digits than its factorization.

2283272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2283272100 is about 47783.5965578147. The cubic root of 2283272100 is about 1316.7981972609.

Adding to 2283272100 its reverse (12723822), we get a palindrome (2295995922).

The spelling of 2283272100 in words is "two billion, two hundred eighty-three million, two hundred seventy-two thousand, one hundred".