Search a number
-
+
22154006662060 = 22572135929473441
BaseRepresentation
bin1010000100110001000011…
…01100101000101110101100
32220102220100211000101120111
411002120201230220232230
510400432401201141220
6115041224332225404
74444400636402500
oct502304154505654
986386324011514
1022154006662060
117071509230529
12259971800b264
13c4916320c3c0
1456838c668300
1528642358215a
hex142621b28bac

22154006662060 has 144 divisors (see below), whose sum is σ = 59269912924320. Its totient is φ = 6892540784640.

The previous prime is 22154006662043. The next prime is 22154006662069. The reversal of 22154006662060 is 6026660045122.

It is a super-2 number, since 2×221540066620602 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22154006662069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13985061 + ... + 15488380.

It is an arithmetic number, because the mean of its divisors is an integer number (411596617530).

Almost surely, 222154006662060 is an apocalyptic number.

22154006662060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22154006662060 is an abundant number, since it is smaller than the sum of its proper divisors (37115906262260).

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

22154006662060 is a wasteful number, since it uses less digits than its factorization.

22154006662060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29473536 (or 29473527 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 22154006662060 in words is "twenty-two trillion, one hundred fifty-four billion, six million, six hundred sixty-two thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 59 65 70 91 98 118 130 140 182 196 236 245 260 295 364 413 455 490 590 637 767 826 910 980 1180 1274 1534 1652 1820 2065 2548 2891 3068 3185 3835 4130 5369 5782 6370 7670 8260 10738 11564 12740 14455 15340 21476 26845 28910 37583 53690 57820 75166 107380 150332 187915 375830 751660 29473441 58946882 117893764 147367205 206314087 294734410 383154733 412628174 589468820 766309466 825256348 1031570435 1444198609 1532618932 1738933019 1915773665 2063140870 2682083131 2888397218 3477866038 3831547330 4126281740 5364166262 5776794436 6955732076 7220993045 7663094660 8694665095 10728332524 12172531133 13410415655 14441986090 17389330190 18774581917 22606129247 24345062266 26820831310 28883972180 34778660380 37549163834 45212258494 48690124532 53641662620 60862655665 75098327668 85207717931 90424516988 93872909585 113030646235 121725311330 158242904729 170415435862 187745819170 226061292470 243450622660 316485809458 340830871724 375491638340 426038589655 452122584940 632971618916 791214523645 852077179310 1107700333103 1582429047290 1704154358620 2215400666206 3164858094580 4430801332412 5538501665515 11077003331030 22154006662060