Search a number
-
+
2292602730 = 2351121274973
BaseRepresentation
bin1000100010100110…
…0101011101101010
312220202221021201020
42020221211131222
514143401241410
61015254233310
7110545541655
oct21051453552
95822837636
102292602730
11a77129400
1253b955836
132a6c85182
1417a6a489c
15d640ea70
hex88a6576a

2292602730 has 96 divisors (see below), whose sum is σ = 6096771072. Its totient is φ = 551295360.

The previous prime is 2292602723. The next prime is 2292602797. The reversal of 2292602730 is 372062922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2292602691 and 2292602700.

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, 458524 + ... + 463496.

It is an arithmetic number, because the mean of its divisors is an integer number (63508032).

Almost surely, 22292602730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292602730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048385536).

2292602730 is an abundant number, since it is smaller than the sum of its proper divisors (3804168342).

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

2292602730 is a wasteful number, since it uses less digits than its factorization.

2292602730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2292602730 is about 47881.1312523002. The cubic root of 2292602730 is about 1318.5894654806.

The spelling of 2292602730 in words is "two billion, two hundred ninety-two million, six hundred two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 127 165 242 254 330 363 381 605 635 726 762 1210 1270 1397 1815 1905 2794 3630 3810 4191 4973 6985 8382 9946 13970 14919 15367 20955 24865 29838 30734 41910 46101 49730 54703 74595 76835 92202 109406 149190 153670 164109 230505 273515 328218 461010 547030 601733 631571 820545 1203466 1263142 1641090 1805199 1894713 3008665 3157855 3610398 3789426 6017330 6315710 6947281 9025995 9473565 13894562 18051990 18947130 20841843 34736405 41683686 69472810 76420091 104209215 152840182 208418430 229260273 382100455 458520546 764200910 1146301365 2292602730