10225513220 has 48 divisors (see below), whose sum is σ = 23165809968. Its totient is φ = 3768975360.

The previous prime is 10225513127. The next prime is 10225513229. The reversal of 10225513220 is 2231552201.

It can be written as a sum of positive squares in 8 ways, for example, as 682567876 + 9542945344 = 26126^2 + 97688^2 .

It is a super-2 number, since 2×10225513220² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10225513229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115940 + ... + 184100.

It is an arithmetic number, because the mean of its divisors is an integer number (482621041).

Almost surely, 2^10225513220 is an apocalyptic number.

10225513220 is a gapful number since it is divisible by the number (10) 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 10225513220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582904984).

10225513220 is an abundant number, since it is smaller than the sum of its proper divisors (12940296748).

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

10225513220 is a wasteful number, since it uses less digits than its factorization.

10225513220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68760 (or 68758 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 10225513220 in words is "ten billion, two hundred twenty-five million, five hundred thirteen thousand, two hundred twenty".