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2214252312543 = 3419311372771223
BaseRepresentation
bin100000001110001011101…
…110001111011111011111
321211200101001101000210000
4200032023232033133133
5242234242043000133
64413114035345343
7315655144053465
oct40161356173737
97750331330700
102214252312543
11784071783387
122b9178752253
13130a5953457b
1479255766835
153c8e77c4413
hex2038bb8f7df

2214252312543 has 160 divisors (see below), whose sum is σ = 3636391587840. Its totient is φ = 1337539806720.

The previous prime is 2214252312541. The next prime is 2214252312583. The reversal of 2214252312543 is 3452132524122.

2214252312543 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 523 + 125 + 4 + 3 = 666.

It is not a de Polignac number, because 2214252312543 - 21 = 2214252312541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2214252312498 and 2214252312507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214252312541) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1810508230 + ... + 1810509452.

It is an arithmetic number, because the mean of its divisors is an integer number (22727447424).

Almost surely, 22214252312543 is an apocalyptic number.

2214252312543 is a deficient number, since it is larger than the sum of its proper divisors (1422139275297).

2214252312543 is a wasteful number, since it uses less digits than its factorization.

2214252312543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1690 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 2214252312543 its reverse (3452132524122), we get a palindrome (5666384836665).

The spelling of 2214252312543 in words is "two trillion, two hundred fourteen billion, two hundred fifty-two million, three hundred twelve thousand, five hundred forty-three".

Divisors: 1 3 9 19 27 31 57 81 93 137 171 277 279 411 513 589 831 837 1223 1233 1539 1767 2493 2511 2603 3669 3699 4247 5263 5301 7479 7809 8587 11007 11097 12741 15789 15903 22437 23237 23427 25761 33021 37913 37949 38223 47367 47709 69711 70281 77283 80693 99063 113739 113847 114669 142101 163153 167551 209133 210843 231849 242079 338771 341217 341541 344007 426303 489459 502653 627399 695547 720347 721031 726237 1016313 1023651 1024623 1176419 1468377 1507959 1882197 2161041 2163093 2178711 3048939 3070953 3073869 3183469 3529257 4405131 4523877 5194081 6436649 6483123 6489279 6536133 9146817 9550407 10501901 10587771 13215393 13571631 15582243 19309947 19449369 19467837 22351961 27440451 28651221 31505703 31763313 46411627 46746729 57929841 58348107 58403511 67055883 85953663 94517109 95289939 98687539 139234881 140240187 173789523 199536119 201167649 257860989 283551327 296062617 417704643 420720561 521368569 598608357 603502947 850653981 881820913 888187851 1253113929 1438760437 1795825071 1810508841 2645462739 2664563553 3759341787 4316281311 5387475213 7936388217 7993690659 12948843933 16162425639 23809164651 27336448303 38846531799 71427493953 82009344909 116539595397 246028034727 738084104181 2214252312543