10223241600 has 576 divisors, whose sum is σ = 39918226320. Its totient is φ = 2284339200.

The previous prime is 10223241557. The next prime is 10223241643. The reversal of 10223241600 is 614232201.

It is an interprime number because it is at equal distance from previous prime (10223241557) and next prime (10223241643).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15100462 + ... + 15101138.

Almost surely, 2^10223241600 is an apocalyptic number.

10223241600 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 10223241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19959113160).

10223241600 is an abundant number, since it is smaller than the sum of its proper divisors (29694984720).

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

10223241600 is a wasteful number, since it uses less digits than its factorization.

10223241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10223241600 its reverse (614232201), we get a palindrome (10837473801).

The spelling of 10223241600 in words is "ten billion, two hundred twenty-three million, two hundred forty-one thousand, six hundred".