Search a number
-
+
2302828140 = 2235411635743
BaseRepresentation
bin1000100101000010…
…0101111001101100
312221111011210100010
42021100211321230
514204011000030
61020301333220
7111031500444
oct21120457154
95844153303
102302828140
11a81982958
12543267210
132a9125502
1417bba7124
15d727e6b0
hex89425e6c

2302828140 has 96 divisors (see below), whose sum is σ = 6646864896. Its totient is φ = 595330560.

The previous prime is 2302828091. The next prime is 2302828159. The reversal of 2302828140 is 418282032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2302828098 and 2302828107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398109 + ... + 403851.

It is an arithmetic number, because the mean of its divisors is an integer number (69238176).

Almost surely, 22302828140 is an apocalyptic number.

2302828140 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 2302828140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323432448).

2302828140 is an abundant number, since it is smaller than the sum of its proper divisors (4344036756).

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

2302828140 is a wasteful number, since it uses less digits than its factorization.

2302828140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2302828140 is about 47987.7915724406. The cubic root of 2302828140 is about 1320.5469381766.

The spelling of 2302828140 in words is "two billion, three hundred two million, eight hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 163 164 205 246 326 410 489 492 615 652 815 820 978 1230 1630 1956 2445 2460 3260 4890 5743 6683 9780 11486 13366 17229 20049 22972 26732 28715 33415 34458 40098 57430 66830 68916 80196 86145 100245 114860 133660 172290 200490 235463 344580 400980 470926 706389 936109 941852 1177315 1412778 1872218 2354630 2808327 2825556 3531945 3744436 4680545 4709260 5616654 7063890 9361090 11233308 14041635 14127780 18722180 28083270 38380469 56166540 76760938 115141407 153521876 191902345 230282814 383804690 460565628 575707035 767609380 1151414070 2302828140