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2330004100 = 225223300041
BaseRepresentation
bin1000101011100001…
…0000101010000100
320000101022110202011
42022320100222010
514232440112400
61023112024004
7111511464604
oct21270205204
96011273664
102330004100
11a96254626
12550392004
132b194bc68
1418163cc04
15d984b8ba
hex8ae10a84

2330004100 has 18 divisors (see below), whose sum is σ = 5056109114. Its totient is φ = 932001600.

The previous prime is 2330004049. The next prime is 2330004107. The reversal of 2330004100 is 14000332.

It can be written as a sum of positive squares in 3 ways, for example, as 108201604 + 2221802496 = 10402^2 + 47136^2 .

It is not an unprimeable number, because it can be changed into a prime (2330004107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11649921 + ... + 11650120.

Almost surely, 22330004100 is an apocalyptic number.

2330004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2330004100 is an abundant number, since it is smaller than the sum of its proper divisors (2726105014).

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

2330004100 is a wasteful number, since it uses less digits than its factorization.

2330004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23300055 (or 23300048 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2330004100 is about 48270.1160139480. The cubic root of 2330004100 is about 1325.7212828547.

Adding to 2330004100 its reverse (14000332), we get a palindrome (2344004432).

The spelling of 2330004100 in words is "two billion, three hundred thirty million, four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 23300041 46600082 93200164 116500205 233000410 466000820 582501025 1165002050 2330004100