10224035352 has 128 divisors (see below), whose sum is σ = 29998848000. Its totient is φ = 3221285760.

The previous prime is 10224035273. The next prime is 10224035359. The reversal of 10224035352 is 25353042201.

It is a happy number.

10224035352 is a `hidden beast` number, since 102 + 24 + 0 + 3 + 535 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224035359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270174 + ... + 305682.

It is an arithmetic number, because the mean of its divisors is an integer number (234366000).

Almost surely, 2^10224035352 is an apocalyptic number.

10224035352 is a gapful number since it is divisible by the number (12) 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 10224035352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999424000).

10224035352 is an abundant number, since it is smaller than the sum of its proper divisors (19774812648).

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

10224035352 is a wasteful number, since it uses less digits than its factorization.

10224035352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35598 (or 35588 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10224035352 its reverse (25353042201), we get a palindrome (35577077553).

The spelling of 10224035352 in words is "ten billion, two hundred twenty-four million, thirty-five thousand, three hundred fifty-two".