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23166453420 = 223251132173637
BaseRepresentation
bin10101100100110101…
…000000011010101100
32012210111202202202100
4111210311000122230
5334421103002140
614350441255100
71450041414345
oct254465003254
965714682670
1023166453420
11990894a380
1245a6494490
1322526cc106
14119aa5b0cc
15908c3e530
hex564d406ac

23166453420 has 144 divisors (see below), whose sum is σ = 76704814368. Its totient is φ = 5612820480.

The previous prime is 23166453391. The next prime is 23166453463. The reversal of 23166453420 is 2435466132.

23166453420 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 645 + 3 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×231664534202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6367842 + ... + 6371478.

It is an arithmetic number, because the mean of its divisors is an integer number (532672322).

Almost surely, 223166453420 is an apocalyptic number.

23166453420 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 23166453420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38352407184).

23166453420 is an abundant number, since it is smaller than the sum of its proper divisors (53538360948).

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

23166453420 is a wasteful number, since it uses less digits than its factorization.

23166453420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 23166453420 in words is "twenty-three billion, one hundred sixty-six million, four hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3217 3637 6434 7274 9651 10911 12868 14548 16085 18185 19302 21822 28953 32170 32733 35387 36370 38604 40007 43644 48255 54555 57906 64340 65466 70774 72740 80014 96510 106161 109110 115812 120021 130932 141548 144765 160028 163665 176935 193020 200035 212322 218220 240042 289530 318483 327330 353870 360063 400070 424644 480084 530805 579060 600105 636966 654660 707740 720126 800140 1061610 1200210 1273932 1440252 1592415 1800315 2123220 2400420 3184830 3600630 6369660 7201260 11700229 23400458 35100687 46800916 58501145 70201374 105302061 117002290 128702519 140402748 175503435 210604122 234004580 257405038 351006870 386107557 421208244 514810076 526510305 643512595 702013740 772215114 1053020610 1158322671 1287025190 1544430228 1930537785 2106041220 2316645342 2574050380 3861075570 4633290684 5791613355 7722151140 11583226710 23166453420