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10223412000 = 25353978783
BaseRepresentation
bin10011000010101110…
…01110001100100000
3222101111011010202220
421201113032030200
5131414143141000
64410243111040
7511226365614
oct114127161440
928344133686
1010223412000
11437693882a
121b93972480
13c6c080c19
146cdabb344
153ec7de1a0
hex2615ce320

10223412000 has 192 divisors, whose sum is σ = 33841027584. Its totient is φ = 2697830400.

The previous prime is 10223411953. The next prime is 10223412083. The reversal of 10223412000 is 21432201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1159609 + ... + 1168391.

It is an arithmetic number, because the mean of its divisors is an integer number (176255352).

Almost surely, 210223412000 is an apocalyptic number.

10223412000 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 10223412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920513792).

10223412000 is an abundant number, since it is smaller than the sum of its proper divisors (23617615584).

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

10223412000 is an equidigital number, since it uses as much as digits as its factorization.

10223412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8908 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10223412000 its reverse (21432201), we get a palindrome (10244844201).

The spelling of 10223412000 in words is "ten billion, two hundred twenty-three million, four hundred twelve thousand".