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22054043220 = 223511217178691
BaseRepresentation
bin10100100010100001…
…011111111001010100
32002220222120110211120
4110202201133321110
5330131313340340
614044222403540
71410343163046
oct244241377124
962828513746
1022054043220
119397a29100
124335a305b0
1321060c4821
1410d300ba96
158912564d0
hex52285fe54

22054043220 has 144 divisors (see below), whose sum is σ = 71868492864. Its totient is φ = 5031910400.

The previous prime is 22054043197. The next prime is 22054043269. The reversal of 22054043220 is 2234045022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34075 + ... + 212765.

It is an arithmetic number, because the mean of its divisors is an integer number (499086756).

Almost surely, 222054043220 is an apocalyptic number.

22054043220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22054043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35934246432).

22054043220 is an abundant number, since it is smaller than the sum of its proper divisors (49814449644).

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

22054043220 is a wasteful number, since it uses less digits than its factorization.

22054043220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178742 (or 178729 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 22054043220 its reverse (2234045022), we get a palindrome (24288088242).

The spelling of 22054043220 in words is "twenty-two billion, fifty-four million, forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 20570 24684 30855 41140 61710 123420 178691 357382 536073 714764 893455 1072146 1786910 1965601 2144292 2680365 3037747 3573820 3931202 5360730 5896803 6075494 7862404 9113241 9828005 10721460 11793606 12150988 15188735 18226482 19656010 21621611 23587212 29484015 30377470 33415217 36452964 39312020 43243222 45566205 58968030 60754940 64864833 66830434 86486444 91132410 100245651 108108055 117936060 129729666 133660868 167076085 182264820 200491302 216216110 259459332 324324165 334152170 367567387 400982604 432432220 501228255 648648330 668304340 735134774 1002456510 1102702161 1297296660 1470269548 1837836935 2004913020 2205404322 3675673870 4410808644 5513510805 7351347740 11027021610 22054043220