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2216631816 = 2332723716981
BaseRepresentation
bin1000010000011111…
…0001111000001000
312201110222120012200
42010013301320020
514014424204231
61003542040200
7105634026300
oct20407617010
95643876180
102216631816
11a3825a323
1251a419060
13294305979
1417056a600
15ce904be6
hex841f1e08

2216631816 has 144 divisors (see below), whose sum is σ = 7172687340. Its totient is φ = 616170240.

The previous prime is 2216631803. The next prime is 2216631869. The reversal of 2216631816 is 6181366122.

It is a happy number.

2216631816 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 631 + 8 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1608812100 + 607819716 = 40110^2 + 24654^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122046 + ... + 139026.

Almost surely, 22216631816 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 2216631816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586343670).

2216631816 is an abundant number, since it is smaller than the sum of its proper divisors (4956055524).

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

2216631816 is a wasteful number, since it uses less digits than its factorization.

2216631816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17044 (or 17030 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2216631816 is about 47081.1195278957. The cubic root of 2216631816 is about 1303.8606764593.

Adding to 2216631816 its reverse (6181366122), we get a palindrome (8397997938).

The spelling of 2216631816 in words is "two billion, two hundred sixteen million, six hundred thirty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 168 196 222 252 259 294 296 333 392 441 444 504 518 588 666 777 882 888 1036 1176 1332 1554 1764 1813 2072 2331 2664 3108 3528 3626 4662 5439 6216 7252 9324 10878 14504 16317 16981 18648 21756 32634 33962 43512 50943 65268 67924 101886 118867 130536 135848 152829 203772 237734 305658 356601 407544 475468 611316 628297 713202 832069 950936 1069803 1222632 1256594 1426404 1664138 1884891 2139606 2496207 2513188 2852808 3328276 3769782 4279212 4398079 4992414 5026376 5654673 6656552 7488621 7539564 8558424 8796158 9984828 11309346 13194237 14977242 15079128 17592316 19969656 22618692 26388474 29954484 30786553 35184632 39582711 45237384 52776948 59908968 61573106 79165422 92359659 105553896 123146212 158330844 184719318 246292424 277078977 316661688 369438636 554157954 738877272 1108315908 2216631816