10224243225 has 189 divisors, whose sum is σ = 22320392367. Its totient is φ = 4630258080.

The previous prime is 10224243203. The next prime is 10224243229. The reversal of 10224243225 is 52234242201.

The square root of 10224243225 is 101115.

It is a perfect power (a square), and thus also a powerful number.

10224243225 is a `hidden beast` number, since 1 + 0 + 224 + 2 + 432 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3680727561 + 6543515664 = 60669^2 + 80892^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 10224243225 - 2²¹ = 10222146073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10224243229) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 95553622 + ... + 95553728.

Almost surely, 2^10224243225 is an apocalyptic number.

10224243225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10224243225 is the 101115-th square number.

10224243225 is the 50558-th centered octagonal number.

It is an amenable number.

10224243225 is an abundant number, since it is smaller than the sum of its proper divisors (12096149142).

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

10224243225 is an frugal number, since it uses more digits than its factorization.

10224243225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10224243225 its reverse (52234242201), we get a palindrome (62458485426).

The spelling of 10224243225 in words is "ten billion, two hundred twenty-four million, two hundred forty-three thousand, two hundred twenty-five".