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11221022260 = 2257319532713
BaseRepresentation
bin10100111001101001…
…10011011000110100
31001222000022222210001
422130310303120310
5140440040203020
65053241241044
7545032054420
oct123464633064
931860288701
1011221022260
114838a7a118
122211a93184
13109a962456
147863a5b80
1545a19c50a
hex29cd33634

11221022260 has 96 divisors (see below), whose sum is σ = 27838605312. Its totient is φ = 3717826560.

The previous prime is 11221022231. The next prime is 11221022317. The reversal of 11221022260 is 6222012211.

11221022260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112210222602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4134664 + ... + 4137376.

It is an arithmetic number, because the mean of its divisors is an integer number (289985472).

Almost surely, 211221022260 is an apocalyptic number.

11221022260 is a gapful number since it is divisible by the number (10) 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 11221022260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13919302656).

11221022260 is an abundant number, since it is smaller than the sum of its proper divisors (16617583052).

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

11221022260 is a wasteful number, since it uses less digits than its factorization.

11221022260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11221022260 its reverse (6222012211), we get a palindrome (17443034471).

The spelling of 11221022260 in words is "eleven billion, two hundred twenty-one million, twenty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 953 1085 1906 2170 2713 3812 4340 4765 5426 6671 9530 10852 13342 13565 18991 19060 26684 27130 29543 33355 37982 54260 59086 66710 75964 84103 94955 118172 133420 147715 168206 189910 206801 295430 336412 379820 413602 420515 588721 590860 827204 841030 1034005 1177442 1682060 2068010 2354884 2585489 2943605 4136020 5170978 5887210 10341956 11774420 12927445 18098423 25854890 36196846 51709780 72393692 80150159 90492115 160300318 180984230 320600636 361968460 400750795 561051113 801501590 1122102226 1603003180 2244204452 2805255565 5610511130 11221022260