Search a number
-
+
14331020220 = 223251143168323
BaseRepresentation
bin11010101100011001…
…00000001110111100
31100222202100020221200
431112030200032330
5213322220121340
610330015255500
71015064443026
oct152614401674
940882306850
1014331020220
11609453a670
12293b51a590
13147507b12a
1499d443016
1558d21d330
hex3563203bc

14331020220 has 144 divisors (see below), whose sum is σ = 48525789312. Its totient is φ = 3393371520.

The previous prime is 14331020089. The next prime is 14331020273. The reversal of 14331020220 is 2202013341.

14331020220 is a `hidden beast` number, since 1 + 433 + 10 + 2 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14331020193 and 14331020202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979 + ... + 169301.

It is an arithmetic number, because the mean of its divisors is an integer number (336984648).

Almost surely, 214331020220 is an apocalyptic number.

14331020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14331020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24262894656).

14331020220 is an abundant number, since it is smaller than the sum of its proper divisors (34194769092).

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

14331020220 is a wasteful number, since it uses less digits than its factorization.

14331020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168392 (or 168387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14331020220 its reverse (2202013341), we get a palindrome (16533033561).

The spelling of 14331020220 in words is "fourteen billion, three hundred thirty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 3870 4257 4730 5676 7095 7740 8514 9460 14190 17028 21285 28380 42570 85140 168323 336646 504969 673292 841615 1009938 1514907 1683230 1851553 2019876 2524845 3029814 3366460 3703106 5049690 5554659 6059628 7237889 7406212 7574535 9257765 10099380 11109318 14475778 15149070 16663977 18515530 21713667 22218636 27773295 28951556 30298140 33327954 36189445 37031060 43427334 55546590 65141001 66655908 72378890 79616779 83319885 86854668 108568335 111093180 130282002 144757780 159233558 166639770 217136670 238850337 260564004 318467116 325705005 333279540 398083895 434273340 477700674 651410010 716551011 796167790 955401348 1194251685 1302820020 1433102022 1592335580 2388503370 2866204044 3582755055 4777006740 7165510110 14331020220