10224413730 has 160 divisors (see below), whose sum is σ = 28041418944. Its totient is φ = 2672486784.

The previous prime is 10224413729. The next prime is 10224413743. The reversal of 10224413730 is 3731442201.

It is a happy number.

It is a super-2 number, since 2×10224413730² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10224413694 and 10224413703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15900789 + ... + 15901431.

Almost surely, 2^10224413730 is an apocalyptic number.

10224413730 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 10224413730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020709472).

10224413730 is an abundant number, since it is smaller than the sum of its proper divisors (17817005214).

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

10224413730 is a wasteful number, since it uses less digits than its factorization.

10224413730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 10224413730 its reverse (3731442201), we get a palindrome (13955855931).

The spelling of 10224413730 in words is "ten billion, two hundred twenty-four million, four hundred thirteen thousand, seven hundred thirty".