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2105226 = 2322937109
BaseRepresentation
bin1000000001111110001010
310221221211100
420001332022
51014331401
6113042230
723615454
oct10017612
93857740
102105226
111208762
12856376
135892c6
143cb2d4
152b8b86
hex201f8a

2105226 has 48 divisors (see below), whose sum is σ = 4890600. Its totient is φ = 653184.

The previous prime is 2105209. The next prime is 2105231. The reversal of 2105226 is 6225012.

It can be written as a sum of positive squares in 4 ways, for example, as 2099601 + 5625 = 1449^2 + 75^2 .

It is a super-2 number, since 2×21052262 = 8863953022152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 24 + 1 + 0 + 52 + 28 + 221 + 65 .

It is a junction number, because it is equal to n+sod(n) for n = 2105199 and 2105208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19260 + ... + 19368.

22105226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445300).

2105226 is an abundant number, since it is smaller than the sum of its proper divisors (2785374).

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

2105226 is a wasteful number, since it uses less digits than its factorization.

2105226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2105226 is about 1450.9396955077. The cubic root of 2105226 is about 128.1640555932.

The spelling of 2105226 in words is "two million, one hundred five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 109 111 174 218 222 261 327 333 522 654 666 981 1073 1962 2146 3161 3219 4033 6322 6438 8066 9483 9657 12099 18966 19314 24198 28449 36297 56898 72594 116957 233914 350871 701742 1052613 2105226