Search a number
-
+
22635436230 = 23451110125153
BaseRepresentation
bin10101000101001011…
…010101100011000110
32011102111120022010000
4111011023111203012
5332324132424410
614222031542130
71430633014311
oct250513254306
964374508100
1022635436230
1196661282a0
12447868a946
1321996a7064
14114a30d978
158c72eadc0
hex5452d58c6

22635436230 has 160 divisors (see below), whose sum is σ = 67057344288. Its totient is φ = 5432832000.

The previous prime is 22635436181. The next prime is 22635436283. The reversal of 22635436230 is 3263453622.

22635436230 is a `hidden beast` number, since 2 + 26 + 3 + 5 + 4 + 3 + 623 + 0 = 666.

It is a super-2 number, since 2×226354362302 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 887334 + ... + 912486.

Almost surely, 222635436230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22635436230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33528672144).

22635436230 is an abundant number, since it is smaller than the sum of its proper divisors (44421908058).

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

22635436230 is a wasteful number, since it uses less digits than its factorization.

22635436230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25284 (or 25275 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 22635436230 its reverse (3263453622), we get a palindrome (25898889852).

The spelling of 22635436230 in words is "twenty-two billion, six hundred thirty-five million, four hundred thirty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 101 110 135 162 165 198 202 270 297 303 330 405 495 505 594 606 810 891 909 990 1010 1111 1485 1515 1782 1818 2222 2727 2970 3030 3333 4455 4545 5454 5555 6666 8181 8910 9090 9999 11110 13635 16362 16665 19998 25153 27270 29997 33330 40905 49995 50306 59994 75459 81810 89991 99990 125765 149985 150918 179982 226377 251530 276683 299970 377295 449955 452754 553366 679131 754590 830049 899910 1131885 1358262 1383415 1660098 2037393 2263770 2490147 2540453 2766830 3395655 4074786 4150245 4980294 5080906 6791310 7470441 7621359 8300490 10186965 12450735 12702265 14940882 15242718 20373930 22411323 22864077 24901470 25404530 27944983 37352205 38106795 44822646 45728154 55889966 68592231 74704410 76213590 83834949 112056615 114320385 137184462 139724915 167669898 205776693 224113230 228640770 251504847 279449830 342961155 411553386 419174745 503009694 685922310 754514541 838349490 1028883465 1257524235 1509029082 2057766930 2263543623 2515048470 3772572705 4527087246 7545145410 11317718115 22635436230