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2226446222 = 272113132101
BaseRepresentation
bin1000010010110100…
…1101111110001110
312202011110012001012
42010231031332032
514024432234342
61004532245222
7106113323600
oct20455157616
95664405035
102226446222
11a42853000
12521770812
13296360c00
141719a3170
15d06e2b82
hex84b4df8e

2226446222 has 144 divisors (see below), whose sum is σ = 4672921104. Its totient is φ = 792792000.

The previous prime is 2226446221. The next prime is 2226446273.

2226446222 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226446221) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22043972 + ... + 22044072.

It is an arithmetic number, because the mean of its divisors is an integer number (32450841).

Almost surely, 22226446222 is an apocalyptic number.

2226446222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2226446222 is an abundant number, since it is smaller than the sum of its proper divisors (2446474882).

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

2226446222 is a wasteful number, since it uses less digits than its factorization.

2226446222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 134 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 2226446222 is about 47185.2330925683. The cubic root of 2226446222 is about 1305.7821770713.

It can be divided in two parts, 22264 and 46222, that added together give a palindrome (68486).

The spelling of 2226446222 in words is "two billion, two hundred twenty-six million, four hundred forty-six thousand, two hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 101 121 143 154 169 182 202 242 286 338 539 637 707 847 1001 1078 1111 1183 1274 1313 1331 1414 1573 1694 1859 2002 2222 2366 2626 2662 3146 3718 4949 5929 7007 7777 8281 9191 9317 9898 11011 11858 12221 13013 14014 14443 15554 16562 17069 17303 18382 18634 20449 22022 24442 26026 28886 34138 34606 40898 54439 64337 65219 77077 85547 91091 101101 108878 119483 121121 128674 130438 134431 143143 154154 158873 171094 182182 187759 202202 224939 238966 242242 268862 286286 317746 375518 449878 598829 707707 836381 847847 941017 1002001 1112111 1197658 1314313 1415414 1574573 1672762 1695694 1747603 1882034 2004002 2065349 2224222 2628626 3149146 3495206 4130698 6587119 7784777 9200191 11022011 12233221 13174238 14457443 15569554 18400382 22044022 22718839 24466442 28914886 45437678 85632547 101202101 159031873 171265094 202404202 318063746 1113223111 2226446222