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2216256 = 26371797
BaseRepresentation
bin1000011101000101000000
311011121010120
420131011000
51031410011
6115300240
724560250
oct10350500
94147116
102216256
111284119
128aa680
135c79c3
14419960
152dba06
hex21d140

2216256 has 112 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 589824.

The previous prime is 2216237. The next prime is 2216281. The reversal of 2216256 is 6526122.

2216256 = T121 + T122 + ... + T246.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 22800 + ... + 22896.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

22216256 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 2216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

2216256 is an abundant number, since it is smaller than the sum of its proper divisors (4952640).

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

2216256 is a wasteful number, since it uses less digits than its factorization.

2216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2216256 is about 1488.7095082655. The cubic root of 2216256 is about 130.3786985165.

The spelling of 2216256 in words is "two million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 97 102 112 119 136 168 192 194 204 224 238 272 291 336 357 388 408 448 476 544 582 672 679 714 776 816 952 1088 1164 1344 1358 1428 1552 1632 1649 1904 2037 2328 2716 2856 3104 3264 3298 3808 4074 4656 4947 5432 5712 6208 6596 7616 8148 9312 9894 10864 11424 11543 13192 16296 18624 19788 21728 22848 23086 26384 32592 34629 39576 43456 46172 52768 65184 69258 79152 92344 105536 130368 138516 158304 184688 277032 316608 369376 554064 738752 1108128 2216256