4242213200 has 30 divisors (see below), whose sum is σ = 10191918174. Its totient is φ = 1696885120.

The previous prime is 4242213181. The next prime is 4242213223. The reversal of 4242213200 is 23122424.

4242213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 67502656 + 4174710544 = 8216^2 + 64612^2 .

It is a super-3 number, since 3×4242213200³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5302367 + ... + 5303166.

Almost surely, 2^4242213200 is an apocalyptic number.

4242213200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242213200 is an abundant number, since it is smaller than the sum of its proper divisors (5949704974).

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

4242213200 is a wasteful number, since it uses less digits than its factorization.

4242213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10605551 (or 10605540 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4242213200 is about 65132.2746416859. The cubic root of 4242213200 is about 1618.8160327461.

Adding to 4242213200 its reverse (23122424), we get a palindrome (4265335624).

The spelling of 4242213200 in words is "four billion, two hundred forty-two million, two hundred thirteen thousand, two hundred".