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2245815 = 3251113349
BaseRepresentation
bin1000100100010010110111
311020002200100
420210102313
51033331230
6120045143
725042365
oct10442267
94202610
102245815
1112a4350
129037b3
136082b0
14426635
152e5660
hex2244b7

2245815 has 48 divisors (see below), whose sum is σ = 4586400. Its totient is φ = 1002240.

The previous prime is 2245813. The next prime is 2245849. The reversal of 2245815 is 5185422.

It is a happy number.

It is not a de Polignac number, because 2245815 - 21 = 2245813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245811) 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, 6261 + ... + 6609.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

22245815 is an apocalyptic number.

2245815 is an abundant number, since it is smaller than the sum of its proper divisors (2340585).

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

2245815 is a wasteful number, since it uses less digits than its factorization.

2245815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2245815 is about 1498.6043507210. The cubic root of 2245815 is about 130.9557763045.

The spelling of 2245815 in words is "two million, two hundred forty-five thousand, eight hundred fifteen".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 349 429 495 585 715 1047 1287 1745 2145 3141 3839 4537 5235 6435 11517 13611 15705 19195 22685 34551 40833 49907 57585 68055 149721 172755 204165 249535 449163 748605 2245815