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2272768 = 2923193
BaseRepresentation
bin1000101010111000000000
311021110122121
420222320000
51040212033
6120414024
725214101
oct10527000
94243577
102272768
111312623
12917314
13617644
144323a8
152ed62d
hex22ae00

2272768 has 40 divisors (see below), whose sum is σ = 4763088. Its totient is φ = 1081344.

The previous prime is 2272757. The next prime is 2272771. The reversal of 2272768 is 8672722.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11680 + ... + 11872.

22272768 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 2272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381544).

2272768 is an abundant number, since it is smaller than the sum of its proper divisors (2490320).

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

2272768 is an equidigital number, since it uses as much as digits as its factorization.

2272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 2272768 is about 1507.5702305365. The cubic root of 2272768 is about 131.4775800665.

The spelling of 2272768 in words is "two million, two hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 193 256 368 386 512 736 772 1472 1544 2944 3088 4439 5888 6176 8878 11776 12352 17756 24704 35512 49408 71024 98816 142048 284096 568192 1136384 2272768