Search a number
-
+
22140284266804 = 22112312148132141
BaseRepresentation
bin1010000100010111011111…
…10001110110100100110100
32220101120221110220111010011
411002023233301312210310
510400221300233014204
6115031034533510004
74443403612100314
oct502135761664464
986346843814104
1022140284266804
1170667072aa900
122596b284a2304
13c47a872898b2
14567849db5444
15285dbd9d7304
hex1422efc76934

22140284266804 has 108 divisors (see below), whose sum is σ = 44037233692452. Its totient is φ = 9732249120000.

The previous prime is 22140284266747. The next prime is 22140284266907. The reversal of 22140284266804 is 40866248204122.

It can be written as a sum of positive squares in 2 ways, for example, as 17335648232100 + 4804636034704 = 4163610^2 + 2191948^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 688832574 + ... + 688864714.

It is an arithmetic number, because the mean of its divisors is an integer number (407752163819).

Almost surely, 222140284266804 is an apocalyptic number.

It is an amenable number.

22140284266804 is a deficient number, since it is larger than the sum of its proper divisors (21896949425648).

22140284266804 is a wasteful number, since it uses less digits than its factorization.

22140284266804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33710 (or 33666 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 49.

The spelling of 22140284266804 in words is "twenty-two trillion, one hundred forty billion, two hundred eighty-four million, two hundred sixty-six thousand, eight hundred four".

Divisors: 1 2 4 11 22 31 44 62 121 124 242 341 484 682 961 1364 1481 1922 2962 3751 3844 5924 7502 10571 15004 16291 21142 32141 32582 42284 45911 64282 65164 91822 116281 128564 179201 183644 232562 353551 358402 465124 505021 707102 716804 996371 1010042 1414204 1423241 1992742 2020084 2846482 3889061 3985484 5555231 5692964 7778122 10960081 11110462 15556244 15655651 21920162 22220924 30887501 31311302 43840324 47600821 61775002 62622604 95201642 120560891 123550004 172212161 190403284 241121782 339762511 344424322 482243564 523609031 679525022 688848644 1047218062 1359050044 1475625451 2094436124 2951250902 3737387621 5759699341 5902501804 7474775242 11519398682 14949550484 16231879961 23038797364 32463759922 45744388981 64927519844 91488777962 178550679571 182977555924 357101359142 503188278791 714202718284 1006376557582 2012753115164 5535071066701 11070142133402 22140284266804