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2200012122 = 2371142111311
BaseRepresentation
bin1000001100100001…
…1000010101011010
312200022201012021110
42003020120111122
514001200341442
61002145521150
7105342536340
oct20310302532
95608635243
102200012122
11a29938740
125149431b6
13290a37029
1416c281990
15cd22069c
hex8321855a

2200012122 has 64 divisors (see below), whose sum is σ = 5499260928. Its totient is φ = 570024000.

The previous prime is 2200012117. The next prime is 2200012151. The reversal of 2200012122 is 2212100022.

It is a junction number, because it is equal to n+sod(n) for n = 2200012098 and 2200012107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188847 + ... + 200157.

It is an arithmetic number, because the mean of its divisors is an integer number (85925952).

Almost surely, 22200012122 is an apocalyptic number.

2200012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749630464).

2200012122 is an abundant number, since it is smaller than the sum of its proper divisors (3299248806).

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

2200012122 is a wasteful number, since it uses less digits than its factorization.

2200012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11755.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2200012122 is about 46904.2868190105. The cubic root of 2200012122 is about 1300.5938356000.

Adding to 2200012122 its reverse (2212100022), we get a palindrome (4412112144).

The spelling of 2200012122 in words is "two billion, two hundred million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 421 462 842 1263 2526 2947 4631 5894 8841 9262 11311 13893 17682 22622 27786 32417 33933 64834 67866 79177 97251 124421 158354 194502 237531 248842 373263 475062 746526 870947 1741894 2612841 4761931 5225682 9523862 14285793 28571586 33333517 52381241 66667034 100000551 104762482 157143723 200001102 314287446 366668687 733337374 1100006061 2200012122