222412003400 has 96 divisors (see below), whose sum is σ = 521119715400. Its totient is φ = 88276992000.

The previous prime is 222412003393. The next prime is 222412003403. The reversal of 222412003400 is 4300214222.

It can be written as a sum of positive squares in 12 ways, for example, as 53127484036 + 169284519364 = 230494^2 + 411442^2 .

It is a super-2 number, since 2×222412003400² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (222412003403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15471416 + ... + 15485784.

Almost surely, 2^222412003400 is an apocalyptic number.

222412003400 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 222412003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260559857700).

222412003400 is an abundant number, since it is smaller than the sum of its proper divisors (298707712000).

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

222412003400 is a wasteful number, since it uses less digits than its factorization.

222412003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14979 (or 14970 counting only the distinct ones).

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

Adding to 222412003400 its reverse (4300214222), we get a palindrome (226712217622).

The spelling of 222412003400 in words is "two hundred twenty-two billion, four hundred twelve million, three thousand, four hundred".