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2243443422 = 2311293779401
BaseRepresentation
bin1000010110111000…
…0011101011011110
312210100102201211010
42011232003223132
514043310142142
61010340440050
7106410645243
oct20556035336
95710381733
102243443422
11a51402280
125273a9026
13299a3261c
14173d495ca
15d1e4de9c
hex85b83ade

2243443422 has 128 divisors (see below), whose sum is σ = 5279385600. Its totient is φ = 628992000.

The previous prime is 2243443417. The next prime is 2243443439.

2243443422 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2243443422.

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 63 ways as a sum of consecutive naturals, for example, 5594422 + ... + 5594822.

It is an arithmetic number, because the mean of its divisors is an integer number (41245200).

Almost surely, 22243443422 is an apocalyptic number.

2243443422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243443422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639692800).

2243443422 is an abundant number, since it is smaller than the sum of its proper divisors (3035942178).

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

2243443422 is a wasteful number, since it uses less digits than its factorization.

2243443422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562.

The product of its digits is 36864, while the sum is 30.

The square root of 2243443422 is about 47365.0020795946. The cubic root of 2243443422 is about 1309.0966368708.

It can be divided in two parts, 22434 and 43422, that added together give a palindrome (65856).

The spelling of 2243443422 in words is "two billion, two hundred forty-three million, four hundred forty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 37 58 66 74 79 87 111 158 174 222 237 319 401 407 474 638 802 814 869 957 1073 1203 1221 1738 1914 2146 2291 2406 2442 2607 2923 3219 4411 4582 5214 5846 6438 6873 8769 8822 11629 11803 13233 13746 14837 17538 23258 23606 25201 26466 29674 31679 32153 34887 35409 44511 50402 63358 64306 69774 70818 75603 84767 89022 95037 96459 127919 151206 163207 169534 190074 192918 254301 255838 326414 348469 383757 430273 489621 508602 696938 767514 860546 918691 932437 979242 1045407 1172123 1290819 1837382 1864874 2090814 2344246 2581638 2756073 2797311 3516369 4733003 5512146 5594622 7032738 9466006 10105601 12893353 14199009 20211202 25786706 28398018 30316803 33991567 38680059 60633606 67983134 77360118 101974701 203949402 373907237 747814474 1121721711 2243443422