4242228192 has 288 divisors, whose sum is σ = 13623966720. Its totient is φ = 1245404160.

The previous prime is 4242228191. The next prime is 4242228197. The reversal of 4242228192 is 2918222424.

4242228192 is a `hidden beast` number, since 4 + 242 + 228 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242228191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4656217 + ... + 4657127.

It is an arithmetic number, because the mean of its divisors is an integer number (47305440).

Almost surely, 2^4242228192 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 4242228192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811983360).

4242228192 is an abundant number, since it is smaller than the sum of its proper divisors (9381738528).

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

4242228192 is a wasteful number, since it uses less digits than its factorization.

4242228192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 995 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4242228192 is about 65132.3897304559. The cubic root of 4242228192 is about 1618.8179397115.

The spelling of 4242228192 in words is "four billion, two hundred forty-two million, two hundred twenty-eight thousand, one hundred ninety-two".