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2168568450 = 235521710499
BaseRepresentation
bin1000000101000001…
…1011101010000010
312121010112200200000
42001100123222002
513420123142300
6555103540430
7104511345666
oct20120335202
95533480600
102168568450
11a13111634
125062ba716
13287377bc9
141680188a6
15ca5adc00
hex8141ba82

2168568450 has 144 divisors (see below), whose sum is σ = 6398028000. Its totient is φ = 544216320.

The previous prime is 2168568449. The next prime is 2168568461. The reversal of 2168568450 is 548658612.

2168568450 is a `hidden beast` number, since 21 + 68 + 568 + 4 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2168568396 and 2168568405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201301 + ... + 211799.

It is an arithmetic number, because the mean of its divisors is an integer number (44430750).

Almost surely, 22168568450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168568450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199014000).

2168568450 is an abundant number, since it is smaller than the sum of its proper divisors (4229459550).

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

2168568450 is a wasteful number, since it uses less digits than its factorization.

2168568450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2168568450 is about 46567.8907617685. The cubic root of 2168568450 is about 1294.3678334496.

The spelling of 2168568450 in words is "two billion, one hundred sixty-eight million, five hundred sixty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 243 255 270 306 405 425 450 459 486 510 675 765 810 850 918 1215 1275 1350 1377 1530 2025 2295 2430 2550 2754 3825 4050 4131 4590 6075 6885 7650 8262 10499 11475 12150 13770 20655 20998 22950 31497 34425 41310 52495 62994 68850 94491 103275 104990 157485 178483 188982 206550 262475 283473 314970 356966 472455 524950 535449 566946 787425 850419 892415 944910 1070898 1417365 1574850 1606347 1700838 1784830 2362275 2551257 2677245 2834730 3212694 4252095 4462075 4724550 4819041 5102514 5354490 7086825 8031735 8504190 8924150 9638082 12756285 13386225 14173650 14457123 16063470 21260475 24095205 25512570 26772450 28914246 40158675 42520950 43371369 48190410 63781425 72285615 80317350 86742738 120476025 127562850 144571230 216856845 240952050 361428075 433713690 722856150 1084284225 2168568450