Search a number
-
+
3311226216 = 2334191312053
BaseRepresentation
bin1100010101011101…
…0100110101101000
322112202122201110000
43011113110311220
523240133214331
61304323023000
7145024646514
oct30527246550
98482581400
103311226216
11144a1122a1
12784b0aa60
1340a01306c
14235a9d144
15145a6e0e6
hexc55d4d68

3311226216 has 160 divisors (see below), whose sum is σ = 9841946400. Its totient is φ = 1037162880.

The previous prime is 3311226151. The next prime is 3311226239. The reversal of 3311226216 is 6126221133.

3311226216 is a `hidden beast` number, since 3 + 3 + 11 + 22 + 621 + 6 = 666.

3311226216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3311226216.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1611846 + ... + 1613898.

It is an arithmetic number, because the mean of its divisors is an integer number (61512165).

Almost surely, 23311226216 is an apocalyptic number.

3311226216 is a gapful number since it is divisible by the number (36) 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 3311226216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920973200).

3311226216 is an abundant number, since it is smaller than the sum of its proper divisors (6530720184).

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

3311226216 is a wasteful number, since it uses less digits than its factorization.

3311226216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2208 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3311226216 is about 57543.2551738255. The cubic root of 3311226216 is about 1490.4918899057.

Adding to 3311226216 its reverse (6126221133), we get a palindrome (9437447349).

The spelling of 3311226216 in words is "three billion, three hundred eleven million, two hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 131 152 162 171 216 228 262 324 342 393 456 513 524 648 684 786 1026 1048 1179 1368 1539 1572 2052 2053 2358 2489 3078 3144 3537 4104 4106 4716 4978 6156 6159 7074 7467 8212 9432 9956 10611 12312 12318 14148 14934 16424 18477 19912 21222 22401 24636 28296 29868 36954 39007 42444 44802 49272 55431 59736 67203 73908 78014 84888 89604 110862 117021 134406 147816 156028 166293 179208 201609 221724 234042 268812 268943 312056 332586 351063 403218 443448 468084 537624 537886 665172 702126 806436 806829 936168 1053189 1075772 1330344 1404252 1612872 1613658 2106378 2151544 2420487 2808504 3159567 3227316 4212756 4840974 5109917 6319134 6454632 7261461 8425512 9681948 10219834 12638268 14522922 15329751 19363896 20439668 21784383 25276536 29045844 30659502 40879336 43568766 45989253 58091688 61319004 87137532 91978506 122638008 137967759 174275064 183957012 275935518 367914024 413903277 551871036 827806554 1103742072 1655613108 3311226216