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2213120200 = 235217961819
BaseRepresentation
bin1000001111101001…
…1000100011001000
312201020101011011211
42003322120203020
514013024321300
61003334502504
7105562132324
oct20372304310
95636334154
102213120200
11a36280a65
12519204a34
132936764a5
1416dcd4984
15ce45e4ba
hex83e988c8

2213120200 has 48 divisors (see below), whose sum is σ = 5174334000. Its totient is φ = 880288320.

The previous prime is 2213120167. The next prime is 2213120201. The reversal of 2213120200 is 20213122.

It is not an unprimeable number, because it can be changed into a prime (2213120201) 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 11 ways as a sum of consecutive naturals, for example, 4891 + ... + 66709.

It is an arithmetic number, because the mean of its divisors is an integer number (107798625).

Almost surely, 22213120200 is an apocalyptic number.

2213120200 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 2213120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587167000).

2213120200 is an abundant number, since it is smaller than the sum of its proper divisors (2961213800).

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

2213120200 is a wasteful number, since it uses less digits than its factorization.

2213120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62014 (or 62005 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2213120200 is about 47043.8114952435. The cubic root of 2213120200 is about 1303.1717817188.

Adding to 2213120200 its reverse (20213122), we get a palindrome (2233333322).

The spelling of 2213120200 in words is "two billion, two hundred thirteen million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 895 1432 1790 3580 4475 7160 8950 17900 35800 61819 123638 247276 309095 494552 618190 1236380 1545475 2472760 3090950 6181900 11065601 12363800 22131202 44262404 55328005 88524808 110656010 221312020 276640025 442624040 553280050 1106560100 2213120200