10226832000 has 512 divisors, whose sum is σ = 42282639360. Its totient is φ = 2124288000.

The previous prime is 10226831981. The next prime is 10226832019. The reversal of 10226832000 is 23862201.

It is an interprime number because it is at equal distance from previous prime (10226831981) and next prime (10226832019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3694617 + ... + 3697383.

It is an arithmetic number, because the mean of its divisors is an integer number (82583280).

Almost surely, 2^10226832000 is an apocalyptic number.

10226832000 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 10226832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21141319680).

10226832000 is an abundant number, since it is smaller than the sum of its proper divisors (32055807360).

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

10226832000 is a wasteful number, since it uses less digits than its factorization.

10226832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10226832000 in words is "ten billion, two hundred twenty-six million, eight hundred thirty-two thousand".