Search a number
-
+
2210423130 = 2325176721563
BaseRepresentation
bin1000001111000000…
…0110000101011010
312201001022010111100
42003300012011122
514011332020010
61003201012230
7105530200206
oct20360060532
95631263440
102210423130
11a347a9683
12518324076
13292c409a6
1416d7d1b06
15ce0ca2c0
hex83c0615a

2210423130 has 96 divisors (see below), whose sum is σ = 6176274624. Its totient is φ = 546467328.

The previous prime is 2210423071. The next prime is 2210423161. The reversal of 2210423130 is 313240122.

2210423130 is a `hidden beast` number, since 2 + 210 + 423 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 91729 + ... + 113291.

It is an arithmetic number, because the mean of its divisors is an integer number (64336194).

Almost surely, 22210423130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210423130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088137312).

2210423130 is an abundant number, since it is smaller than the sum of its proper divisors (3965851494).

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

2210423130 is a wasteful number, since it uses less digits than its factorization.

2210423130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21660 (or 21657 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2210423130 is about 47015.1372432326. The cubic root of 2210423130 is about 1302.6421864050.

Adding to 2210423130 its reverse (313240122), we get a palindrome (2523663252).

The spelling of 2210423130 in words is "two billion, two hundred ten million, four hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 67 85 90 102 134 153 170 201 255 306 335 402 510 603 670 765 1005 1139 1206 1530 2010 2278 3015 3417 5695 6030 6834 10251 11390 17085 20502 21563 34170 43126 51255 64689 102510 107815 129378 194067 215630 323445 366571 388134 646890 733142 970335 1099713 1444721 1832855 1940670 2199426 2889442 3299139 3665710 4334163 5498565 6598278 7223605 8668326 10997130 13002489 14447210 16495695 21670815 24560257 26004978 32991390 43341630 49120514 65012445 73680771 122801285 130024890 147361542 221042313 245602570 368403855 442084626 736807710 1105211565 2210423130