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2288748 = 2237112477
BaseRepresentation
bin1000101110110001101100
311022021120110
420232301230
51041214443
6121020020
725311510
oct10566154
94267513
102288748
111323630
12924610
136219b7
14438140
15303233
hex22ec6c

2288748 has 48 divisors (see below), whose sum is σ = 6660864. Its totient is φ = 594240.

The previous prime is 2288747. The next prime is 2288749. The reversal of 2288748 is 8478822.

2288748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2288747) and next prime (2288749).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288747) 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 15 ways as a sum of consecutive naturals, for example, 315 + ... + 2162.

It is an arithmetic number, because the mean of its divisors is an integer number (138768).

22288748 is an apocalyptic number.

2288748 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330432).

2288748 is an abundant number, since it is smaller than the sum of its proper divisors (4372116).

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

2288748 is a wasteful number, since it uses less digits than its factorization.

2288748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2500 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 2288748 is about 1512.8608660416. The cubic root of 2288748 is about 131.7850035476.

The spelling of 2288748 in words is "two million, two hundred eighty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2477 4954 7431 9908 14862 17339 27247 29724 34678 52017 54494 69356 81741 104034 108988 163482 190729 208068 326964 381458 572187 762916 1144374 2288748