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2265048 = 2332163193
BaseRepresentation
bin1000101000111111011000
311021002001200
420220333120
51034440143
6120314200
725152432
oct10507730
94232050
102265048
111307845
12912960
13613c86
1442d652
152eb1d3
hex228fd8

2265048 has 48 divisors (see below), whose sum is σ = 6204120. Its totient is φ = 746496.

The previous prime is 2265019. The next prime is 2265049. The reversal of 2265048 is 8405622.

2265048 is a `hidden beast` number, since 2 + 2 + 650 + 4 + 8 = 666.

2265048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265049) 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 11 ways as a sum of consecutive naturals, for example, 11640 + ... + 11832.

22265048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102060).

2265048 is an abundant number, since it is smaller than the sum of its proper divisors (3939072).

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

2265048 is a wasteful number, since it uses less digits than its factorization.

2265048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2265048 is about 1505.0076411766. The cubic root of 2265048 is about 131.3285461822.

The spelling of 2265048 in words is "two million, two hundred sixty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 193 326 386 489 579 652 772 978 1158 1304 1467 1544 1737 1956 2316 2934 3474 3912 4632 5868 6948 11736 13896 31459 62918 94377 125836 188754 251672 283131 377508 566262 755016 1132524 2265048