222434424311100 has 72 divisors (see below), whose sum is σ = 643578487559280. Its totient is φ = 59315703329280.

The previous prime is 222434424311069. The next prime is 222434424311107. The reversal of 222434424311100 is 1113424434222.

222434424311100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×222434424311100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222434424311107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194937834 + ... + 196075566.

It is an arithmetic number, because the mean of its divisors is an integer number (8938590104990).

Almost surely, 2^{222434424311100} is an apocalyptic number.

222434424311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222434424311100 is an abundant number, since it is smaller than the sum of its proper divisors (421144063248180).

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

222434424311100 is a wasteful number, since it uses less digits than its factorization.

222434424311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789439 (or 1789432 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 222434424311100 its reverse (1113424434222), we get a palindrome (223547848745322).

The spelling of 222434424311100 in words is "two hundred twenty-two trillion, four hundred thirty-four billion, four hundred twenty-four million, three hundred eleven thousand, one hundred".