Search a number
-
+
2206638 = 232783211
BaseRepresentation
bin1000011010101110101110
311011002221100
420122232232
51031103023
6115143530
724520230
oct10325656
94132840
102206638
111277975
128a4ba6
135c3505
14416250
152d8c43
hex21abae

2206638 has 48 divisors (see below), whose sum is σ = 5556096. Its totient is φ = 619920.

The previous prime is 2206627. The next prime is 2206649. The reversal of 2206638 is 8366022.

2206638 is a `hidden beast` number, since 2 + 20 + 6 + 638 = 666.

It is an interprime number because it is at equal distance from previous prime (2206627) and next prime (2206649).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 10353 + ... + 10563.

It is an arithmetic number, because the mean of its divisors is an integer number (115752).

22206638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778048).

2206638 is an abundant number, since it is smaller than the sum of its proper divisors (3349458).

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

2206638 is a wasteful number, since it uses less digits than its factorization.

2206638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2206638 is about 1485.4756813896. The cubic root of 2206638 is about 130.1898213142.

The spelling of 2206638 in words is "two million, two hundred six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 211 249 422 498 581 633 747 1162 1266 1477 1494 1743 1899 2954 3486 3798 4431 5229 8862 10458 13293 17513 26586 35026 52539 105078 122591 157617 245182 315234 367773 735546 1103319 2206638