10224242000 has 540 divisors, whose sum is σ = 32242187484. Its totient is φ = 3125606400.

The previous prime is 10224241991. The next prime is 10224242023. The reversal of 10224242000 is 24242201.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 952092736 + 9272149264 = 30856^2 + 96292^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10224242000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 538117991 + ... + 538118009.

Almost surely, 2^10224242000 is an apocalyptic number.

10224242000 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 10224242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121093742).

10224242000 is an abundant number, since it is smaller than the sum of its proper divisors (22017945484).

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

10224242000 is a wasteful number, since it uses less digits than its factorization.

10224242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10224242000 its reverse (24242201), we get a palindrome (10248484201).

The spelling of 10224242000 in words is "ten billion, two hundred twenty-four million, two hundred forty-two thousand".