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22002210211230 = 234589317962791
BaseRepresentation
bin1010000000010110010011…
…11011001000010110011110
32212220101112212012201110000
411000023021323020112132
510340441011303224410
6114443401551355130
74430415165015324
oct500131173102636
985811485181400
1022002210211230
1170130a3082277
122574213822aa6
13c37a517134b2
14560cac485d14
152824dbdeadc0
hex1402c9ec859e

22002210211230 has 160 divisors (see below), whose sum is σ = 60015023133120. Its totient is φ = 5783025093120.

The previous prime is 22002210211133. The next prime is 22002210211243. The reversal of 22002210211230 is 3211201220022.

22002210211230 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 221 + 0 + 211 + 230 = 666.

It is a super-2 number, since 2×220022102112302 (a number of 27 digits) contains 22 as substring.

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

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, 22371135 + ... + 23333925.

It is an arithmetic number, because the mean of its divisors is an integer number (375093894582).

Almost surely, 222002210211230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002210211230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30007511566560).

22002210211230 is an abundant number, since it is smaller than the sum of its proper divisors (38012812921890).

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

22002210211230 is a wasteful number, since it uses less digits than its factorization.

22002210211230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963216 (or 963207 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22002210211230 its reverse (3211201220022), we get a palindrome (25213411431252).

The spelling of 22002210211230 in words is "twenty-two trillion, two billion, two hundred ten million, two hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 317 405 445 534 634 801 810 890 951 1335 1585 1602 1902 2403 2670 2853 3170 4005 4755 4806 5706 7209 8010 8559 9510 12015 14265 14418 17118 24030 25677 28213 28530 36045 42795 51354 56426 72090 84639 85590 128385 141065 169278 253917 256770 282130 423195 507834 761751 846390 962791 1269585 1523502 1925582 2285253 2539170 2888373 3808755 4570506 4813955 5776746 7617510 8665119 9627910 11426265 14441865 17330238 22852530 25995357 28883730 43325595 51990714 77986071 85688399 86651190 129976785 155972142 171376798 257065197 259953570 305204747 389930355 428441995 514130394 610409494 771195591 779860710 856883990 915614241 1285325985 1526023735 1542391182 1831228482 2313586773 2570651970 2746842723 3052047470 3855977955 4578071205 4627173546 5493685446 6940760319 7711955910 8240528169 9156142410 11567933865 13734213615 13881520638 16481056338 23135867730 24721584507 27163222483 27468427230 34703801595 41202640845 49443169014 54326444966 69407603190 81489667449 82405281690 123607922535 135816112415 162979334898 244469002347 247215845070 271632224830 407448337245 488938004694 733407007041 814896674490 1222345011735 1466814014082 2200221021123 2444690023470 3667035035205 4400442042246 7334070070410 11001105105615 22002210211230