10224353000 has 64 divisors (see below), whose sum is σ = 24136978320. Its totient is φ = 4053504000.

The previous prime is 10224352987. The next prime is 10224353023. The reversal of 10224353000 is 35342201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1514610724 + 8709742276 = 38918^2 + 93326^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67760 + ... + 158240.

Almost surely, 2^10224353000 is an apocalyptic number.

10224353000 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 10224353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068489160).

10224353000 is an abundant number, since it is smaller than the sum of its proper divisors (13912625320).

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

10224353000 is a wasteful number, since it uses less digits than its factorization.

10224353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90615 (or 90601 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10224353000 its reverse (35342201), we get a palindrome (10259695201).

The spelling of 10224353000 in words is "ten billion, two hundred twenty-four million, three hundred fifty-three thousand".