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2287215 = 325753137
BaseRepresentation
bin1000101110011001101111
311022012110200
420232121233
51041142330
6121004543
725304160
oct10563157
94265420
102287215
111322467
12923753
136210a8
14437767
15302a60
hex22e66f

2287215 has 48 divisors (see below), whose sum is σ = 4650048. Its totient is φ = 1018368.

The previous prime is 2287199. The next prime is 2287223. The reversal of 2287215 is 5127822.

It is not a de Polignac number, because 2287215 - 24 = 2287199 is a prime.

It is an Ulam number.

2287215 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16627 + ... + 16763.

It is an arithmetic number, because the mean of its divisors is an integer number (96876).

22287215 is an apocalyptic number.

2287215 is an abundant number, since it is smaller than the sum of its proper divisors (2362833).

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

2287215 is a wasteful number, since it uses less digits than its factorization.

2287215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2287215 is about 1512.3541251969. The cubic root of 2287215 is about 131.7555738430.

The spelling of 2287215 in words is "two million, two hundred eighty-seven thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 137 159 265 315 371 411 477 685 795 959 1113 1233 1855 2055 2385 2877 3339 4795 5565 6165 7261 8631 14385 16695 21783 36305 43155 50827 65349 108915 152481 254135 326745 457443 762405 2287215