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2228096 = 27132103
BaseRepresentation
bin1000011111111110000000
311012012101002
420133332000
51032244341
6115431132
724636623
oct10377600
94165332
102228096
111292002
128b54a8
13600200
1441ddba
152e029b
hex21ff80

2228096 has 48 divisors (see below), whose sum is σ = 4853160. Its totient is φ = 1018368.

The previous prime is 2228089. The next prime is 2228101. The reversal of 2228096 is 6908222.

It is a happy number.

2228096 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 an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 21581 + ... + 21683.

22228096 is an apocalyptic number.

2228096 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 2228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426580).

2228096 is an abundant number, since it is smaller than the sum of its proper divisors (2625064).

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

2228096 is a wasteful number, since it uses less digits than its factorization.

2228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2228096 is about 1492.6808098184. The cubic root of 2228096 is about 130.6104621993.

The spelling of 2228096 in words is "two million, two hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 169 206 208 338 412 416 676 824 832 1339 1352 1648 1664 2678 2704 3296 5356 5408 6592 10712 10816 13184 17407 21424 21632 34814 42848 69628 85696 139256 171392 278512 557024 1114048 2228096