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2388205 = 519231093
BaseRepresentation
bin1001000111000011101101
311111100000001
421013003231
51102410310
6123104301
726204461
oct11070355
94440001
102388205
111391326
12972091
13658051
144624a1
1532293a
hex2470ed

2388205 has 16 divisors (see below), whose sum is σ = 3150720. Its totient is φ = 1729728.

The previous prime is 2388187. The next prime is 2388223. The reversal of 2388205 is 5028832.

2388205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2388205 is a nontrivial binomial coefficient, being equal to C(2186, 2).

It is an interprime number because it is at equal distance from previous prime (2388187) and next prime (2388223).

It is a cyclic number.

It is not a de Polignac number, because 2388205 - 25 = 2388173 is a prime.

2388205 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1639 + ... + 2731.

It is an arithmetic number, because the mean of its divisors is an integer number (196920).

22388205 is an apocalyptic number.

2388205 is the 2185-th triangular number and also the 1093-rd hexagonal number.

2388205 is the 729-th centered nonagonal number.

It is an amenable number.

2388205 is a deficient number, since it is larger than the sum of its proper divisors (762515).

2388205 is a wasteful number, since it uses less digits than its factorization.

2388205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2388205 is about 1545.3818298401. The cubic root of 2388205 is about 133.6668974553. Note that the first 3 decimals are identical.

The spelling of 2388205 in words is "two million, three hundred eighty-eight thousand, two hundred five".

Divisors: 1 5 19 23 95 115 437 1093 2185 5465 20767 25139 103835 125695 477641 2388205