10222272450 has 144 divisors (see below), whose sum is σ = 29643180840. Its totient is φ = 2510576640.

The previous prime is 10222272371. The next prime is 10222272451. The reversal of 10222272450 is 5427222201.

It can be written as a sum of positive squares in 12 ways, for example, as 194853681 + 10027418769 = 13959^2 + 100137^2 .

It is not an unprimeable number, because it can be changed into a prime (10222272451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2975934 + ... + 2979366.

Almost surely, 2^10222272450 is an apocalyptic number.

10222272450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222272450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821590420).

10222272450 is an abundant number, since it is smaller than the sum of its proper divisors (19420908390).

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

10222272450 is a wasteful number, since it uses less digits than its factorization.

10222272450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 10222272450 its reverse (5427222201), we get a palindrome (15649494651).

The spelling of 10222272450 in words is "ten billion, two hundred twenty-two million, two hundred seventy-two thousand, four hundred fifty".