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2210120200 = 2352311931847
BaseRepresentation
bin1000001110111011…
…1100001000001000
312201000201201221201
42003232330020020
514011242321300
61003150313544
7105524466061
oct20356741010
95630651851
102210120200
11a34612022
125181b88b4
13292b65b42
1416d753568
15ce06a66a
hex83bbc208

2210120200 has 96 divisors (see below), whose sum is σ = 5334658560. Its totient is φ = 850636800.

The previous prime is 2210120197. The next prime is 2210120201. The reversal of 2210120200 is 20210122.

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 (2210120201) 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, 1195677 + ... + 1197523.

It is an arithmetic number, because the mean of its divisors is an integer number (55569360).

Almost surely, 22210120200 is an apocalyptic number.

2210120200 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 2210120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667329280).

2210120200 is an abundant number, since it is smaller than the sum of its proper divisors (3124538360).

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

2210120200 is a wasteful number, since it uses less digits than its factorization.

2210120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2210120200 is about 47011.9155108575. The cubic root of 2210120200 is about 1302.5826763169.

Adding to 2210120200 its reverse (20210122), we get a palindrome (2230330322).

The spelling of 2210120200 in words is "two billion, two hundred ten million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 193 200 248 310 386 620 772 775 965 1240 1544 1550 1847 1930 3100 3694 3860 4825 5983 6200 7388 7720 9235 9650 11966 14776 18470 19300 23932 29915 36940 38600 46175 47864 57257 59830 73880 92350 114514 119660 149575 184700 229028 239320 286285 299150 356471 369400 458056 572570 598300 712942 1145140 1196600 1425884 1431425 1782355 2290280 2851768 2862850 3564710 5725700 7129420 8911775 11050601 11451400 14258840 17823550 22101202 35647100 44202404 55253005 71294200 88404808 110506010 221012020 276265025 442024040 552530050 1105060100 2210120200