10223766000 has 1280 divisors, whose sum is σ = 46574161920. Its totient is φ = 2090188800.

The previous prime is 10223765999. The next prime is 10223766001. The reversal of 10223766000 is 66732201.

It is a happy number.

10223766000 is a `hidden beast` number, since 1 + 0 + 22 + 37 + 6 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10223765999) and next prime (10223766001).

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 (10223766001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 237761979 + ... + 237762021.

It is an arithmetic number, because the mean of its divisors is an integer number (36386064).

Almost surely, 2^10223766000 is an apocalyptic number.

10223766000 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 10223766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23287080960).

10223766000 is an abundant number, since it is smaller than the sum of its proper divisors (36350395920).

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

10223766000 is a wasteful number, since it uses less digits than its factorization.

10223766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10223766000 in words is "ten billion, two hundred twenty-three million, seven hundred sixty-six thousand".