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2243634393 = 3721121331313
BaseRepresentation
bin1000010110111011…
…0010010011011001
312210100210102210010
42011232302103121
514043332300033
61010344512133
7106412402100
oct20556622331
95710712703
102243634393
11a51522800
1252747b649
13299a9b520
14173d99037
15d1e8a863
hex85bb24d9

2243634393 has 144 divisors (see below), whose sum is σ = 4265737728. Its totient is φ = 1037836800.

The previous prime is 2243634389. The next prime is 2243634409. The reversal of 2243634393 is 3934363422.

It is a happy number.

2243634393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2243634393 - 22 = 2243634389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2243634343) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7168005 + ... + 7168317.

Almost surely, 22243634393 is an apocalyptic number.

It is an amenable number.

2243634393 is a deficient number, since it is larger than the sum of its proper divisors (2022103335).

2243634393 is a wasteful number, since it uses less digits than its factorization.

2243634393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its digits is 279936, while the sum is 39.

The square root of 2243634393 is about 47367.0179872029. The cubic root of 2243634393 is about 1309.1337810213.

It can be divided in two parts, 2243 and 634393, that added together give a palindrome (636636).

The spelling of 2243634393 in words is "two billion, two hundred forty-three million, six hundred thirty-four thousand, three hundred ninety-three".

Divisors: 1 3 7 11 13 21 31 33 39 49 77 91 93 121 143 147 217 231 273 313 341 363 403 429 539 637 651 847 939 1001 1023 1209 1519 1573 1617 1911 2191 2387 2541 2821 3003 3443 3751 4069 4433 4557 4719 5929 6573 7007 7161 8463 9703 10329 11011 11253 12207 13299 15337 16709 17787 19747 21021 24101 26257 28483 29109 31031 33033 37873 44759 46011 48763 50127 59241 67921 72303 77077 78771 85449 93093 106733 113619 126139 134277 146289 168707 183799 199381 203763 217217 231231 265111 313313 320199 341341 378417 475447 492349 506121 551397 598143 651651 747131 795333 882973 939939 1024023 1174063 1387529 1426341 1477047 1855777 2193191 2241393 2389387 2648919 3446443 3522189 4162587 5229917 5567331 6180811 6579573 7168161 8218441 9712703 10339329 15262819 15689751 18542433 24125101 24655323 29138109 45788457 57529087 67988921 72375303 106839733 172587261 203966763 320519199 747878131 2243634393