4226168100 has 288 divisors, whose sum is σ = 16048972800. Its totient is φ = 831859200.

The previous prime is 4226167997. The next prime is 4226168101. The reversal of 4226168100 is 18616224.

It is a super-2 number, since 2×4226168100² = 35720993618915220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4226168101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434086 + ... + 443714.

It is an arithmetic number, because the mean of its divisors is an integer number (55725600).

Almost surely, 2^4226168100 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 4226168100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8024486400).

4226168100 is an abundant number, since it is smaller than the sum of its proper divisors (11822804700).

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

4226168100 is a wasteful number, since it uses less digits than its factorization.

4226168100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4226168100 is about 65008.9847636463. The cubic root of 4226168100 is about 1616.7725333065.

The spelling of 4226168100 in words is "four billion, two hundred twenty-six million, one hundred sixty-eight thousand, one hundred".