22422151415400 has 192 divisors, whose sum is σ = 75897422254080. Its totient is φ = 5430670713600.

The previous prime is 22422151415311. The next prime is 22422151415401. The reversal of 22422151415400 is 451415122422.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (22422151415401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5611507 + ... + 8736893.

It is an arithmetic number, because the mean of its divisors is an integer number (395299074240).

Almost surely, 2^{22422151415400} is an apocalyptic number.

22422151415400 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 22422151415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37948711127040).

22422151415400 is an abundant number, since it is smaller than the sum of its proper divisors (53475270838680).

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

22422151415400 is a wasteful number, since it uses less digits than its factorization.

22422151415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126504 (or 3126495 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 22422151415400 its reverse (451415122422), we get a palindrome (22873566537822).

The spelling of 22422151415400 in words is "twenty-two trillion, four hundred twenty-two billion, one hundred fifty-one million, four hundred fifteen thousand, four hundred".