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2200200220 = 225412719901
BaseRepresentation
bin1000001100100100…
…0110010000011100
312200100001202022001
42003021012100130
514001222401340
61002153532044
7105344251621
oct20311062034
95610052261
102200200220
11a29a56a99
12514a14024
13290aa182a
1416c2d0348
15cd25b29a
hex8324641c

2200200220 has 48 divisors (see below), whose sum is σ = 4751058816. Its totient is φ = 855360000.

The previous prime is 2200200181. The next prime is 2200200241. The reversal of 2200200220 is 220020022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2200200197 and 2200200206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217270 + ... + 227170.

It is an arithmetic number, because the mean of its divisors is an integer number (98980392).

Almost surely, 22200200220 is an apocalyptic number.

2200200220 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 2200200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375529408).

2200200220 is an abundant number, since it is smaller than the sum of its proper divisors (2550858596).

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

2200200220 is a wasteful number, since it uses less digits than its factorization.

2200200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2200200220 is about 46906.2919020466. The cubic root of 2200200220 is about 1300.6309008696.

2200200220 divided by its sum of digits (10) gives a palindrome (220020022).

Adding to 2200200220 its reverse (220020022), we get a palindrome (2420220242).

The spelling of 2200200220 in words is "two billion, two hundred million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 9901 11111 19802 22222 39604 44444 49505 55555 99010 111110 198020 222220 405941 811882 1623764 2029705 2683171 4059410 5366342 8118820 10732684 13415855 26831710 53663420 110010011 220020022 440040044 550050055 1100100110 2200200220