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2273856 = 26313911
BaseRepresentation
bin1000101011001001000000
311021112010220
420223021000
51040230411
6120423040
725220214
oct10531100
94245126
102273856
111313422
12917a80
13617ca0
14432944
152edb06
hex22b240

2273856 has 56 divisors (see below), whose sum is σ = 6486144. Its totient is φ = 698880.

The previous prime is 2273851. The next prime is 2273867. The reversal of 2273856 is 6583722.

It is a super-2 number, since 2×22738562 = 10340842217472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2273851) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2041 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (115824).

22273856 is an apocalyptic number.

2273856 is a gapful number since it is divisible by the number (26) 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 2273856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243072).

2273856 is an abundant number, since it is smaller than the sum of its proper divisors (4212288).

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

2273856 is a wasteful number, since it uses less digits than its factorization.

2273856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 929 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 2273856 is about 1507.9310329057. The cubic root of 2273856 is about 131.4985566594.

The spelling of 2273856 in words is "two million, two hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 911 1248 1822 2496 2733 3644 5466 7288 10932 11843 14576 21864 23686 29152 35529 43728 47372 58304 71058 87456 94744 142116 174912 189488 284232 378976 568464 757952 1136928 2273856