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641822130 = 23452347733
BaseRepresentation
bin100110010000010…
…110110110110010
31122201200221110000
4212100112312302
52303301302010
6143404250430
721622253355
oct4620266662
91581627400
10641822130
112aa323514
1215ab40a16
13a2c7c911
146135229c
153b52e7c0
hex26416db2

641822130 has 160 divisors (see below), whose sum is σ = 1841647104. Its totient is φ = 160009344.

The previous prime is 641822101. The next prime is 641822143. The reversal of 641822130 is 31228146.

641822130 is a `hidden beast` number, since 641 + 8 + 2 + 2 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 641822094 and 641822103.

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, 875244 + ... + 875976.

Almost surely, 2641822130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641822130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920823552).

641822130 is an abundant number, since it is smaller than the sum of its proper divisors (1199824974).

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

641822130 is a wasteful number, since it uses less digits than its factorization.

641822130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 641822130 is about 25334.2086910170. The cubic root of 641822130 is about 862.5909469314.

The spelling of 641822130 in words is "six hundred forty-one million, eight hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 47 54 69 81 90 94 115 135 138 141 162 207 230 235 270 282 345 405 414 423 470 621 690 705 733 810 846 1035 1081 1242 1269 1410 1466 1863 2070 2115 2162 2199 2538 3105 3243 3665 3726 3807 4230 4398 5405 6210 6345 6486 6597 7330 7614 9315 9729 10810 10995 12690 13194 16215 16859 18630 19035 19458 19791 21990 29187 32430 32985 33718 34451 38070 39582 48645 50577 58374 59373 65970 68902 84295 87561 97290 98955 101154 103353 118746 145935 151731 168590 172255 175122 197910 206706 252885 291870 296865 303462 310059 344510 437805 455193 505770 516765 593730 620118 758655 792373 875610 910386 930177 1033530 1365579 1517310 1550295 1584746 1860354 2275965 2377119 2731158 2790531 3100590 3961865 4551930 4650885 4754238 5581062 6827895 7131357 7923730 9301770 11885595 13655790 13952655 14262714 21394071 23771190 27905310 35656785 42788142 64182213 71313570 106970355 128364426 213940710 320911065 641822130