4225288100 has 72 divisors (see below), whose sum is σ = 10143475776. Its totient is φ = 1514800000.

The previous prime is 4225288031. The next prime is 4225288121. The reversal of 4225288100 is 18825224.

It is a super-2 number, since 2×4225288100² = 35706119056003220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51050 + ... + 105150.

It is an arithmetic number, because the mean of its divisors is an integer number (140881608).

Almost surely, 2^4225288100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225288100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071737888).

4225288100 is an abundant number, since it is smaller than the sum of its proper divisors (5918187676).

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

4225288100 is a wasteful number, since it uses less digits than its factorization.

4225288100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54197 (or 54190 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 4225288100 is about 65002.2161160679. The cubic root of 4225288100 is about 1616.6603072458.

The spelling of 4225288100 in words is "four billion, two hundred twenty-five million, two hundred eighty-eight thousand, one hundred".