Search a number
-
+
2330010410 = 257131012251
BaseRepresentation
bin1000101011100001…
…0010001100101010
320000101022210101212
42022320102030222
514232440313120
61023112113122
7111511522160
oct21270221452
96011283355
102330010410
11a96259342
125503957a2
132b1951ab0
14181641230
15d984d6c5
hex8ae1232a

2330010410 has 96 divisors (see below), whose sum is σ = 5234253696. Its totient is φ = 727200000.

The previous prime is 2330010407. The next prime is 2330010523. The reversal of 2330010410 is 140100332.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9282785 + ... + 9283035.

It is an arithmetic number, because the mean of its divisors is an integer number (54523476).

Almost surely, 22330010410 is an apocalyptic number.

2330010410 is an abundant number, since it is smaller than the sum of its proper divisors (2904243286).

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

2330010410 is a wasteful number, since it uses less digits than its factorization.

2330010410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2330010410 is about 48270.1813752548. The cubic root of 2330010410 is about 1325.7224796042.

Adding to 2330010410 its reverse (140100332), we get a palindrome (2470110742).

The spelling of 2330010410 in words is "two billion, three hundred thirty million, ten thousand, four hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 101 130 182 202 251 455 502 505 707 910 1010 1255 1313 1414 1757 2510 2626 3263 3514 3535 6526 6565 7070 8785 9191 10201 13130 16315 17570 18382 20402 22841 25351 32630 45682 45955 50702 51005 71407 91910 102010 114205 126755 132613 142814 177457 228410 253510 265226 329563 354914 357035 659126 663065 714070 887285 928291 1326130 1647815 1774570 1856582 2306941 2560451 3295630 4613882 4641455 5120902 9282910 11534705 12802255 17923157 23069410 25604510 33285863 35846314 66571726 89615785 166429315 179231570 233001041 332858630 466002082 1165005205 2330010410