222451312440 has 256 divisors, whose sum is σ = 815400069120. Its totient is φ = 47390146560.

The previous prime is 222451312379. The next prime is 222451312451. The reversal of 222451312440 is 44213154222.

It is a happy number.

222451312440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 222451312398 and 222451312407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395220 + ... + 1546460.

It is an arithmetic number, because the mean of its divisors is an integer number (3185156520).

Almost surely, 2^222451312440 is an apocalyptic number.

222451312440 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 222451312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407700034560).

222451312440 is an abundant number, since it is smaller than the sum of its proper divisors (592948756680).

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

222451312440 is a wasteful number, since it uses less digits than its factorization.

222451312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151382 (or 151378 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 222451312440 its reverse (44213154222), we get a palindrome (266664466662).

The spelling of 222451312440 in words is "two hundred twenty-two billion, four hundred fifty-one million, three hundred twelve thousand, four hundred forty".