Search a number
-
+
2216598696 = 233413263129
BaseRepresentation
bin1000010000011110…
…1001110010101000
312201110220212210000
42010013221302220
514014422124241
61003541223000
7105633530604
oct20407516250
95643825700
102216598696
11a38237454
1251a401a60
132942c3880
1417055c504
15ce8e9eb6
hex841e9ca8

2216598696 has 80 divisors (see below), whose sum is σ = 6686133300. Its totient is φ = 682027776.

The previous prime is 2216598689. The next prime is 2216598719. The reversal of 2216598696 is 6968956122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2068976196 + 147622500 = 45486^2 + 12150^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 123141 + ... + 139988.

Almost surely, 22216598696 is an apocalyptic number.

2216598696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2216598696 is an abundant number, since it is smaller than the sum of its proper divisors (4469534604).

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

2216598696 is a wasteful number, since it uses less digits than its factorization.

2216598696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263160 (or 263147 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 2216598696 is about 47080.7677932295. The cubic root of 2216598696 is about 1303.8541825105.

The spelling of 2216598696 in words is "two billion, two hundred sixteen million, five hundred ninety-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 263129 526258 789387 1052516 1578774 2105032 2368161 3157548 3420677 4736322 6315096 6841354 7104483 9472644 10262031 13682708 14208966 18945288 20524062 21313449 27365416 28417932 30786093 41048124 42626898 56835864 61572186 82096248 85253796 92358279 123144372 170507592 184716558 246288744 277074837 369433116 554149674 738866232 1108299348 2216598696