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2267248 = 242361101
BaseRepresentation
bin1000101001100001110000
311021012002011
420221201300
51040022443
6120332304
725162024
oct10514160
94235064
102267248
111309465
12914094
13614c89
14430384
152ebb9d
hex229870

2267248 has 40 divisors (see below), whose sum is σ = 4705056. Its totient is φ = 1056000.

The previous prime is 2267231. The next prime is 2267257. The reversal of 2267248 is 8427622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22398 + ... + 22498.

22267248 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 2267248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352528).

2267248 is an abundant number, since it is smaller than the sum of its proper divisors (2437808).

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

2267248 is a wasteful number, since it uses less digits than its factorization.

2267248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 2267248 is about 1505.7383570860. The cubic root of 2267248 is about 131.3710514345.

The spelling of 2267248 in words is "two million, two hundred sixty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 46 61 92 101 122 184 202 244 368 404 488 808 976 1403 1616 2323 2806 4646 5612 6161 9292 11224 12322 18584 22448 24644 37168 49288 98576 141703 283406 566812 1133624 2267248