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2249415 = 325737193
BaseRepresentation
bin1000100101001011000111
311020021121200
420211023013
51033440130
6120113543
725056030
oct10451307
94207550
102249415
1112a7023
129058b3
13609b1c
14427a87
152e6760
hex2252c7

2249415 has 48 divisors (see below), whose sum is σ = 4600128. Its totient is φ = 995328.

The previous prime is 2249413. The next prime is 2249419. The reversal of 2249415 is 5149422.

2249415 is a `hidden beast` number, since 2 + 249 + 415 = 666.

It is not a de Polignac number, because 2249415 - 21 = 2249413 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11559 + ... + 11751.

It is an arithmetic number, because the mean of its divisors is an integer number (95836).

22249415 is an apocalyptic number.

2249415 is an abundant number, since it is smaller than the sum of its proper divisors (2350713).

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

2249415 is a wasteful number, since it uses less digits than its factorization.

2249415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 245 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2249415 is about 1499.8049873234. The cubic root of 2249415 is about 131.0257121800.

The spelling of 2249415 in words is "two million, two hundred forty-nine thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 193 259 315 333 555 579 777 965 1295 1351 1665 1737 2331 2895 3885 4053 6755 7141 8685 11655 12159 20265 21423 35705 49987 60795 64269 107115 149961 249935 321345 449883 749805 2249415