222324410434100 has 144 divisors (see below), whose sum is σ = 520460801720496. Its totient is φ = 81945937920000.

The previous prime is 222324410434067. The next prime is 222324410434103. The reversal of 222324410434100 is 1434014423222.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 188328304172176 + 33996106261924 = 13723276^2 + 5830618^2 .

It is a super-3 number, since 3×222324410434100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222324410434103) 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, 11005604000 + ... + 11005624200.

It is an arithmetic number, because the mean of its divisors is an integer number (3614311123059).

Almost surely, 2^{222324410434100} is an apocalyptic number.

222324410434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222324410434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260230400860248).

222324410434100 is an abundant number, since it is smaller than the sum of its proper divisors (298136391286396).

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

222324410434100 is a wasteful number, since it uses less digits than its factorization.

222324410434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34566 (or 34559 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 222324410434100 its reverse (1434014423222), we get a palindrome (223758424857322).

The spelling of 222324410434100 in words is "two hundred twenty-two trillion, three hundred twenty-four billion, four hundred ten million, four hundred thirty-four thousand, one hundred".