Search a number
-
+
23200212000 = 2535371391987
BaseRepresentation
bin10101100110110101…
…110010010000100000
32012212212021212211010
4111212311302100200
5340003223241000
614354045020520
71450631356020
oct254665622040
965785255733
1023200212000
119925a07729
1245b5854740
1322596bbac4
1411a1327a80
1590bbabd50
hex566d72420

23200212000 has 384 divisors, whose sum is σ = 87530526720. Its totient is φ = 5262105600.

The previous prime is 23200211999. The next prime is 23200212037. The reversal of 23200212000 is 21200232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11675007 + ... + 11676993.

It is an arithmetic number, because the mean of its divisors is an integer number (227944080).

Almost surely, 223200212000 is an apocalyptic number.

23200212000 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 23200212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43765263360).

23200212000 is an abundant number, since it is smaller than the sum of its proper divisors (64330314720).

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

23200212000 is a wasteful number, since it uses less digits than its factorization.

23200212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 23200212000 its reverse (21200232), we get a palindrome (23221412232).

The spelling of 23200212000 in words is "twenty-three billion, two hundred million, two hundred twelve thousand".