Search a number
-
+
21220212330 = 234543718581
BaseRepresentation
bin10011110000110100…
…101011111001101010
32000202212120110220000
4103300310223321222
5321424333243310
613425354443430
71350566554152
oct236064537152
960685513800
1021220212330
118aaa290669
124142733576
132002428075
141054397762
15842e4a4c0
hex4f0d2be6a

21220212330 has 160 divisors (see below), whose sum is σ = 59214976128. Its totient is φ = 5448643200.

The previous prime is 21220212319. The next prime is 21220212341. The reversal of 21220212330 is 3321202212.

21220212330 is a `hidden beast` number, since 2 + 122 + 0 + 212 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (21220212319) and next prime (21220212341).

It is a super-2 number, since 2×212202123302 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2468640 + ... + 2477220.

Almost surely, 221220212330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29607488064).

21220212330 is an abundant number, since it is smaller than the sum of its proper divisors (37994763798).

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

21220212330 is a wasteful number, since it uses less digits than its factorization.

21220212330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8705 counting only the distinct ones).

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

Adding to 21220212330 its reverse (3321202212), we get a palindrome (24541414542).

The spelling of 21220212330 in words is "twenty-one billion, two hundred twenty million, two hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 71 81 86 90 129 135 142 162 213 215 258 270 355 387 405 426 430 639 645 710 774 810 1065 1161 1278 1290 1917 1935 2130 2322 3053 3195 3483 3834 3870 5751 5805 6106 6390 6966 8581 9159 9585 11502 11610 15265 17162 17415 18318 19170 25743 27477 28755 30530 34830 42905 45795 51486 54954 57510 77229 82431 85810 91590 128715 137385 154458 164862 231687 247293 257430 274770 368983 386145 412155 463374 494586 609251 695061 737966 772290 824310 1106949 1158435 1218502 1236465 1390122 1827753 1844915 2213898 2316870 2472930 3046255 3320847 3475305 3655506 3689830 5483259 5534745 6092510 6641694 6950610 9138765 9962541 10966518 11069490 16449777 16604235 18277530 19925082 26197793 27416295 29887623 32899554 33208470 49349331 49812705 52395586 54832590 59775246 78593379 82248885 98698662 99625410 130988965 149438115 157186758 164497770 235780137 246746655 261977930 298876230 392966895 471560274 493493310 707340411 785933790 1178900685 1414680822 2122021233 2357801370 3536702055 4244042466 7073404110 10610106165 21220212330