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23200011000 = 23325317914401
BaseRepresentation
bin10101100110110101…
…000001001011111000
32012212211220200002200
4111212311001023320
5340003200323000
614354040430200
71450626561015
oct254665011370
965784820080
1023200011000
11992588a711
1245b5778360
13225964b47a
1411a12b470c
1590bb6c500
hex566d412f8

23200011000 has 192 divisors, whose sum is σ = 78859591200. Its totient is φ = 6151680000.

The previous prime is 23200010969. The next prime is 23200011001. The reversal of 23200011000 is 11000232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1603800 + ... + 1618200.

Almost surely, 223200011000 is an apocalyptic number.

23200011000 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 23200011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39429795600).

23200011000 is an abundant number, since it is smaller than the sum of its proper divisors (55659580200).

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

23200011000 is a wasteful number, since it uses less digits than its factorization.

23200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14607 (or 14590 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 23200011000 its reverse (11000232), we get a palindrome (23211011232).

The spelling of 23200011000 in words is "twenty-three billion, two hundred million, eleven thousand".