Search a number
-
+
233110012200 = 2335213377391093
BaseRepresentation
bin1101100100011001110…
…0001000000100101000
3211021200211121120120120
43121012130020010220
512304402130342300
6255031140323240
722561453260552
oct3310634100450
9737624546516
10233110012200
118a95258544a
12392180a3520
1318c9cb06580
14b3d55ac4d2
1560e51233a0
hex3646708128

233110012200 has 384 divisors, whose sum is σ = 801075811200. Its totient is φ = 55703531520.

The previous prime is 233110012153. The next prime is 233110012211. The reversal of 233110012200 is 2210011332.

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

It is a self number, because there is not a number n which added to its sum of digits gives 233110012200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213274854 + ... + 213275946.

It is an arithmetic number, because the mean of its divisors is an integer number (2086134925).

Almost surely, 2233110012200 is an apocalyptic number.

233110012200 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 233110012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400537905600).

233110012200 is an abundant number, since it is smaller than the sum of its proper divisors (567965799000).

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

233110012200 is a wasteful number, since it uses less digits than its factorization.

233110012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 233110012200 its reverse (2210011332), we get a palindrome (235320023532).

The spelling of 233110012200 in words is "two hundred thirty-three billion, one hundred ten million, twelve thousand, two hundred".