Search a number
-
+
22210223322330 = 2345229663718041
BaseRepresentation
bin1010000110011001110000…
…11110001011010011011010
32220122021110122120121220000
411003030320132023103122
510402343014132303310
6115123122530313430
74451431016210301
oct503147036132332
986567418517800
1022210223322330
11709333705643a
1225a85a6a28876
13c51551bb6414
1456ada2885438
15287b13aaa4c0
hex14333878b4da

22210223322330 has 160 divisors (see below), whose sum is σ = 59993975028240. Its totient is φ = 5895647493120.

The previous prime is 22210223322241. The next prime is 22210223322347. The reversal of 22210223322330 is 3322332201222.

22210223322330 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 0 + 2 + 2 + 3 + 322 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2614116613329 + 19596106709001 = 1616823^2 + 4426749^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22210223322294 and 22210223322303.

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, 1231088110 + ... + 1231106150.

Almost surely, 222210223322330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22210223322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29996987514120).

22210223322330 is an abundant number, since it is smaller than the sum of its proper divisors (37783751705910).

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

22210223322330 is a wasteful number, since it uses less digits than its factorization.

22210223322330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24926 (or 24917 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22210223322330 its reverse (3322332201222), we get a palindrome (25532555523552).

The spelling of 22210223322330 in words is "twenty-two trillion, two hundred ten billion, two hundred twenty-three million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 229 270 405 458 687 810 1145 1374 2061 2290 3435 4122 6183 6637 6870 10305 12366 13274 18041 18549 19911 20610 30915 33185 36082 37098 39822 54123 59733 61830 66370 90205 92745 99555 108246 119466 162369 179199 180410 185490 199110 270615 298665 324738 358398 487107 537597 541230 597330 811845 895995 974214 1075194 1461321 1519873 1623690 1791990 2435535 2687985 2922642 3039746 4131389 4559619 4871070 5375970 7306605 7599365 8262778 9119238 12394167 13678857 14613210 15198730 20656945 22798095 24788334 27357714 37182501 41036571 41313890 45596190 61970835 68394285 74365002 82073142 111547503 119738117 123109713 123941670 136788570 185912505 205182855 223095006 239476234 246219426 334642509 359214351 371825010 410365710 557737515 598690585 615548565 669285018 718428702 1077643053 1115475030 1197381170 1231097130 1673212545 1796071755 2155286106 3232929159 3346425090 3592143510 5388215265 6465858318 9698787477 10776430530 16164645795 19397574954 27420028793 32329291590 48493937385 54840057586 82260086379 96987874770 137100143965 164520172758 246780259137 274200287930 411300431895 493560518274 740340777411 822600863790 1233901295685 1480681554822 2221022332233 2467802591370 3701703887055 4442044664466 7403407774110 11105111661165 22210223322330