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23201280000 = 21232541953
BaseRepresentation
bin10101100110111001…
…110111000000000000
32012212221022010211200
4111212321313000000
5340004011430000
614354123541200
71450643424513
oct254671670000
965787263750
1023201280000
119926577078
1245b608a800
1322599a3c62
1411a1524d7a
1590bd1d500
hex566e77000

23201280000 has 780 divisors, whose sum is σ = 89816280840. Its totient is φ = 5750784000.

The previous prime is 23201279963. The next prime is 23201280001. The reversal of 23201280000 is 8210232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201280001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 437759974 + ... + 437760026.

It is an arithmetic number, because the mean of its divisors is an integer number (115149078).

Almost surely, 223201280000 is an apocalyptic number.

23201280000 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 23201280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44908140420).

23201280000 is an abundant number, since it is smaller than the sum of its proper divisors (66615000840).

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

23201280000 is an equidigital number, since it uses as much as digits as its factorization.

23201280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23201280000 its reverse (8210232), we get a palindrome (23209490232).

The spelling of 23201280000 in words is "twenty-three billion, two hundred one million, two hundred eighty thousand".