Search a number
-
+
3300200200 = 2352113740543
BaseRepresentation
bin1100010010110101…
…0000111100001000
322111222220112121001
43010231100330020
523224322401300
61303250424344
7144532144633
oct30455207410
98458815531
103300200200
111443971290
127812920b4
134079524ab
1423442cc1a
15144ae216a
hexc4b50f08

3300200200 has 96 divisors (see below), whose sum is σ = 8596949760. Its totient is φ = 1167609600.

The previous prime is 3300200153. The next prime is 3300200209. The reversal of 3300200200 is 20020033.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3300200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61129 + ... + 101671.

It is an arithmetic number, because the mean of its divisors is an integer number (89551560).

Almost surely, 23300200200 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 3300200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298474880).

3300200200 is an abundant number, since it is smaller than the sum of its proper divisors (5296749560).

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

3300200200 is a wasteful number, since it uses less digits than its factorization.

3300200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40607 (or 40598 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3300200200 is about 57447.3689562890. The cubic root of 3300200200 is about 1488.8356593018.

Adding to 3300200200 its reverse (20020033), we get a palindrome (3320220233).

The spelling of 3300200200 in words is "three billion, three hundred million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 148 185 200 220 275 296 370 407 440 550 740 814 925 1100 1480 1628 1850 2035 2200 3256 3700 4070 7400 8140 10175 16280 20350 40543 40700 81086 81400 162172 202715 324344 405430 445973 810860 891946 1013575 1500091 1621720 1783892 2027150 2229865 3000182 3567784 4054300 4459730 6000364 7500455 8108600 8919460 11149325 12000728 15000910 16501001 17838920 22298650 30001820 33002002 37502275 44597300 60003640 66004004 75004550 82505005 89194600 132008008 150009100 165010010 300018200 330020020 412525025 660040040 825050050 1650100100 3300200200