Search a number
-
+
2330103330 = 2325101256337
BaseRepresentation
bin1000101011100010…
…1000111000100010
320000101111111212100
42022320220320202
514233001301310
61023114111230
7111512360112
oct21270507042
96011444770
102330103330
11a96312135
1255041b516
132b1985189
14181667042
15d986aec0
hex8ae28e22

2330103330 has 48 divisors (see below), whose sum is σ = 6118275384. Its totient is φ = 615206400.

The previous prime is 2330103311. The next prime is 2330103337. The reversal of 2330103330 is 333010332.

2330103330 is a `hidden beast` number, since 2 + 330 + 1 + 0 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2303136081 + 26967249 = 47991^2 + 5193^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2330103337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 119079 + ... + 137258.

Almost surely, 22330103330 is an apocalyptic number.

2330103330 is an abundant number, since it is smaller than the sum of its proper divisors (3788172054).

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

2330103330 is a wasteful number, since it uses less digits than its factorization.

2330103330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256451 (or 256448 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 2330103330 is about 48271.1438646320. The cubic root of 2330103330 is about 1325.7401024861.

Adding to 2330103330 its reverse (333010332), we get a palindrome (2663113662).

The spelling of 2330103330 in words is "two billion, three hundred thirty million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 256337 512674 769011 1281685 1538022 2307033 2563370 3845055 4614066 7690110 11535165 23070330 25890037 51780074 77670111 129450185 155340222 233010333 258900370 388350555 466020666 776701110 1165051665 2330103330