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22431144010302 = 23219417012282041
BaseRepresentation
bin1010001100110101010000…
…10111101110001000111110
32221102101200222211101002200
411012122220113232020332
510420002440331312202
6115412420355332330
74503411442112556
oct506325027561076
987371628741080
1022431144010302
117168aa4019105
1226233808b10a6
13c6932b56b1b1
1457795d232166
1528d743a11e1c
hex1466a85ee23e

22431144010302 has 96 divisors (see below), whose sum is σ = 52481306535840. Its totient is φ = 6900888960000.

The previous prime is 22431144010273. The next prime is 22431144010307. The reversal of 22431144010302 is 20301044113422.

22431144010302 is a `hidden beast` number, since 2 + 2 + 4 + 311 + 4 + 40 + 1 + 0 + 302 = 666.

It is a super-2 number, since 2×224311440103022 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22431144010307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8688402 + ... + 10970442.

It is an arithmetic number, because the mean of its divisors is an integer number (546680276415).

Almost surely, 222431144010302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22431144010302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26240653267920).

22431144010302 is an abundant number, since it is smaller than the sum of its proper divisors (30050162525538).

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

22431144010302 is a wasteful number, since it uses less digits than its factorization.

22431144010302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282810 (or 2282807 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22431144010302 its reverse (20301044113422), we get a palindrome (42732188123724).

It can be divided in two parts, 2243114 and 4010302, that added together give a triangular number (6253416 = T3536).

The spelling of 22431144010302 in words is "twenty-two trillion, four hundred thirty-one billion, one hundred forty-four million, ten thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 701 738 779 1402 1558 2103 2337 4206 4674 6309 7011 12618 13319 14022 26638 28741 39957 57482 79914 86223 119871 172446 239742 258669 517338 546079 1092158 1638237 2282041 3276474 4564082 4914711 6846123 9829422 13692246 20538369 41076738 43358779 86717558 93563681 130076337 187127362 260152674 280691043 390229011 561382086 780458022 842073129 1599710741 1684146258 1777709939 3199421482 3555419878 4799132223 5333129817 9598264446 10666259634 14397396669 15999389451 28794793338 30394504079 31998778902 60789008158 65588140381 91183512237 131176280762 182367024474 196764421143 273550536711 393528842286 547101073422 590293263429 1180586526858 1246174667239 2492349334478 3738524001717 7477048003434 11215572005151 22431144010302