Search a number
-
+
2226206600 = 2352110910037
BaseRepresentation
bin1000010010110001…
…0011011110001000
312202011000000100022
42010230103132020
514024402102400
61004523200012
7106111305152
oct20454233610
95664000308
102226206600
11a426a9a72
12521676008
132962a8b17
1417193dad2
15d0696b85
hex84b13788

2226206600 has 48 divisors (see below), whose sum is σ = 5181113700. Its totient is φ = 889591040.

The previous prime is 2226206581. The next prime is 2226206617. The reversal of 2226206600 is 66026222.

It can be written as a sum of positive squares in 6 ways, for example, as 115906756 + 2110299844 = 10766^2 + 45938^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2226206600.

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 11 ways as a sum of consecutive naturals, for example, 216782 + ... + 226818.

Almost surely, 22226206600 is an apocalyptic number.

2226206600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226206600 is an abundant number, since it is smaller than the sum of its proper divisors (2954907100).

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

2226206600 is a wasteful number, since it uses less digits than its factorization.

2226206600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162 (or 11153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2226206600 is about 47182.6938612030. The cubic root of 2226206600 is about 1305.7353303132.

The spelling of 2226206600 in words is "two billion, two hundred twenty-six million, two hundred six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1109 2218 4436 5545 8872 10037 11090 20074 22180 27725 40148 44360 50185 55450 80296 100370 110900 200740 221800 250925 401480 501850 1003700 2007400 11131033 22262066 44524132 55655165 89048264 111310330 222620660 278275825 445241320 556551650 1113103300 2226206600