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2105236 = 227223467
BaseRepresentation
bin1000000001111110010100
310221221211201
420001332110
51014331421
6113042244
723615500
oct10017624
93857751
102105236
111208771
12856384
13589303
143cb300
152b8b91
hex201f94

2105236 has 36 divisors (see below), whose sum is σ = 4481568. Its totient is φ = 861168.

The previous prime is 2105231. The next prime is 2105251. The reversal of 2105236 is 6325012.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4275 + ... + 4741.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

22105236 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 2105236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784).

2105236 is an abundant number, since it is smaller than the sum of its proper divisors (2376332).

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

2105236 is a wasteful number, since it uses less digits than its factorization.

With its successor (2105237) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (499).

2105236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2105236 is about 1450.9431415462. The cubic root of 2105236 is about 128.1642585229.

The spelling of 2105236 in words is "two million, one hundred five thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 467 644 934 1127 1868 2254 3269 4508 6538 10741 13076 21482 22883 42964 45766 75187 91532 150374 300748 526309 1052618 2105236