Search a number
-
+
2200200 = 2335219193
BaseRepresentation
bin1000011001001010001000
311010210002220
420121022020
51030401300
6115054040
724462402
oct10311210
94123086
102200200
111273052
128a1320
135c05c2
14413b72
152d6da0
hex219288

2200200 has 96 divisors (see below), whose sum is σ = 7216800. Its totient is φ = 552960.

The previous prime is 2200199. The next prime is 2200207. The reversal of 2200200 is 20022.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2200207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11304 + ... + 11496.

It is an arithmetic number, because the mean of its divisors is an integer number (75175).

22200200 is an apocalyptic number.

2200200 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 2200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608400).

2200200 is an abundant number, since it is smaller than the sum of its proper divisors (5016600).

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

2200200 is a wasteful number, since it uses less digits than its factorization.

2200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2200200 is about 1483.3071158732. The cubic root of 2200200 is about 130.0630857519.

Adding to 2200200 its reverse (20022), we get a palindrome (2220222).

The spelling of 2200200 in words is "two million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 193 200 228 285 300 380 386 456 475 570 579 600 760 772 950 965 1140 1158 1425 1544 1900 1930 2280 2316 2850 2895 3667 3800 3860 4632 4825 5700 5790 7334 7720 9650 11001 11400 11580 14475 14668 18335 19300 22002 23160 28950 29336 36670 38600 44004 55005 57900 73340 88008 91675 110010 115800 146680 183350 220020 275025 366700 440040 550050 733400 1100100 2200200