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23121472200 = 233521723671471
BaseRepresentation
bin10101100010001001…
…011010101011001000
32012200101010111010020
4111202021122223020
5334323044102300
614342153220440
71445654161641
oct254211325310
965611114106
1023121472200
119895517312
124593401720
1322462b01c8
141194aac6c8
15904d068a0
hex56225aac8

23121472200 has 384 divisors, whose sum is σ = 80429137920. Its totient is φ = 5464166400.

The previous prime is 23121472193. The next prime is 23121472201. The reversal of 23121472200 is 227412132.

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

It is not an unprimeable number, because it can be changed into a prime (23121472201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15717465 + ... + 15718935.

It is an arithmetic number, because the mean of its divisors is an integer number (209450880).

Almost surely, 223121472200 is an apocalyptic number.

23121472200 is a gapful number since it is divisible by the number (20) 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 23121472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40214568960).

23121472200 is an abundant number, since it is smaller than the sum of its proper divisors (57307665720).

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

23121472200 is a wasteful number, since it uses less digits than its factorization.

23121472200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 23121472200 its reverse (227412132), we get a palindrome (23348884332).

The spelling of 23121472200 in words is "twenty-three billion, one hundred twenty-one million, four hundred seventy-two thousand, two hundred".