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2221120212 = 2232337263827
BaseRepresentation
bin1000010001100011…
…1001101011010100
312201210102121010120
42010120321223110
514022101321322
61004222151540
7106020132063
oct20430715324
95653377116
102221120212
11a3a845543
1251ba225b0
1329521791c
14170db81da
15ceedea5c
hex84639ad4

2221120212 has 96 divisors (see below), whose sum is σ = 5581965312. Its totient is φ = 685593216.

The previous prime is 2221120177. The next prime is 2221120229. The reversal of 2221120212 is 2120211222.

It is a junction number, because it is equal to n+sod(n) for n = 2221120191 and 2221120200.

It is a congruent number.

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, 2685343 + ... + 2686169.

It is an arithmetic number, because the mean of its divisors is an integer number (58145472).

Almost surely, 22221120212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790982656).

2221120212 is an abundant number, since it is smaller than the sum of its proper divisors (3360845100).

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

2221120212 is a wasteful number, since it uses less digits than its factorization.

2221120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2221120212 is about 47128.7620461221. The cubic root of 2221120212 is about 1304.7401335144.

Adding to 2221120212 its reverse (2120211222), we get a palindrome (4341331434).

The spelling of 2221120212 in words is "two billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 263 276 444 526 789 827 851 1052 1578 1654 1702 2481 2553 3156 3308 3404 4962 5106 6049 9731 9924 10212 12098 18147 19021 19462 24196 29193 30599 36294 38042 38924 57063 58386 61198 72588 76084 91797 114126 116772 122396 183594 217501 223813 228252 367188 435002 447626 652503 671439 703777 870004 895252 1305006 1342878 1407554 2111331 2610012 2685756 2815108 4222662 5002523 8047537 8445324 10005046 15007569 16095074 20010092 24142611 30015138 32190148 48285222 60030276 96570444 185093351 370186702 555280053 740373404 1110560106 2221120212