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22102314 = 2313476029
BaseRepresentation
bin101010001010…
…0000100101010
31112120220200020
41110110010222
521124233224
62105421310
7355603143
oct124240452
945526606
1022102314
1111526883
12749a836
13476b2c0
142d14aca
151e18c79
hex151412a

22102314 has 32 divisors (see below), whose sum is σ = 48625920. Its totient is φ = 6654912.

The previous prime is 22102279. The next prime is 22102331. The reversal of 22102314 is 41320122.

It is a junction number, because it is equal to n+sod(n) for n = 22102293 and 22102302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652 + ... + 6680.

It is an arithmetic number, because the mean of its divisors is an integer number (1519560).

Almost surely, 222102314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312960).

22102314 is an abundant number, since it is smaller than the sum of its proper divisors (26523606).

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

22102314 is a wasteful number, since it uses less digits than its factorization.

22102314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22102314 is about 4701.3098174870. The cubic root of 22102314 is about 280.6376369592.

Adding to 22102314 its reverse (41320122), we get a palindrome (63422436).

The spelling of 22102314 in words is "twenty-two million, one hundred two thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 611 1222 1833 3666 6029 12058 18087 36174 78377 156754 235131 283363 470262 566726 850089 1700178 3683719 7367438 11051157 22102314