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2208234 = 23732937
BaseRepresentation
bin1000011011000111101010
311011012010110
420123013222
51031130414
6115155150
724525000
oct10330752
94135113
102208234
111279096
128a5ab6
135c4162
14416a70
152d9459
hex21b1ea

2208234 has 64 divisors (see below), whose sum is σ = 5472000. Its totient is φ = 592704.

The previous prime is 2208229. The next prime is 2208257. The reversal of 2208234 is 4328022.

2208234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2208234.

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 31 ways as a sum of consecutive naturals, for example, 59664 + ... + 59700.

It is an arithmetic number, because the mean of its divisors is an integer number (85500).

22208234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736000).

2208234 is an abundant number, since it is smaller than the sum of its proper divisors (3263766).

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

2208234 is a wasteful number, since it uses less digits than its factorization.

2208234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2208234 is about 1486.0127859477. The cubic root of 2208234 is about 130.2212013110.

It can be divided in two parts, 2208 and 234, that added together give a palindrome (2442).

The spelling of 2208234 in words is "two million, two hundred eight thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 37 42 49 58 74 87 98 111 147 174 203 222 259 294 343 406 518 609 686 777 1029 1073 1218 1421 1554 1813 2058 2146 2842 3219 3626 4263 5439 6438 7511 8526 9947 10878 12691 15022 19894 22533 25382 29841 38073 45066 52577 59682 76146 105154 157731 315462 368039 736078 1104117 2208234