10224415350 has 360 divisors, whose sum is σ = 30572690544. Its totient is φ = 2531088000.

The previous prime is 10224415339. The next prime is 10224415367. The reversal of 10224415350 is 5351442201.

10224415350 is a `hidden beast` number, since 102 + 24 + 4 + 1 + 535 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 144005815 + ... + 144005885.

Almost surely, 2^10224415350 is an apocalyptic number.

10224415350 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 10224415350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15286345272).

10224415350 is an abundant number, since it is smaller than the sum of its proper divisors (20348275194).

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

10224415350 is a wasteful number, since it uses less digits than its factorization.

10224415350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10224415350 its reverse (5351442201), we get a palindrome (15575857551).

The spelling of 10224415350 in words is "ten billion, two hundred twenty-four million, four hundred fifteen thousand, three hundred fifty".