Search a number
-
+
3312113200 = 24521129101257
BaseRepresentation
bin1100010101101010…
…1101011000110000
322112211022210011021
43011122231120300
523240400110300
61304354025224
7145035332464
oct30532553060
98484283137
103312113200
11144a668740
12785278214
1340a2639c6
14235c504a4
15145b96d1a
hexc56ad630

3312113200 has 240 divisors, whose sum is σ = 9104283360. Its totient is φ = 1146880000.

The previous prime is 3312113197. The next prime is 3312113239. The reversal of 3312113200 is 23112133.

It is a super-2 number, since 2×33121132002 = 21940187699228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12887472 + ... + 12887728.

It is an arithmetic number, because the mean of its divisors is an integer number (37934514).

Almost surely, 23312113200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552141680).

3312113200 is an abundant number, since it is smaller than the sum of its proper divisors (5792170160).

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

3312113200 is a wasteful number, since it uses less digits than its factorization.

3312113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3312113200 is about 57550.9617643354. The cubic root of 3312113200 is about 1490.6249649202.

Adding to 3312113200 its reverse (23112133), we get a palindrome (3335225333).

The spelling of 3312113200 in words is "three billion, three hundred twelve million, one hundred thirteen thousand, two hundred".