8850222400 has 84 divisors (see below), whose sum is σ = 22365797788. Its totient is φ = 3444387840.

The previous prime is 8850222383. The next prime is 8850222427. The reversal of 8850222400 is 42220588.

It can be written as a sum of positive squares in 6 ways, for example, as 86266944 + 8763955456 = 9288^2 + 93616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15549 + ... + 133948.

Almost surely, 2^8850222400 is an apocalyptic number.

8850222400 is a gapful number since it is divisible by the number (80) 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 8850222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182898894).

8850222400 is an abundant number, since it is smaller than the sum of its proper divisors (13515575388).

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

8850222400 is a wasteful number, since it uses less digits than its factorization.

8850222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149556 (or 149541 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 8850222400 is about 94075.6206463715. The cubic root of 8850222400 is about 2068.4803272034.

Adding to 8850222400 its reverse (42220588), we get a palindrome (8892442988).

The spelling of 8850222400 in words is "eight billion, eight hundred fifty million, two hundred twenty-two thousand, four hundred".