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23402214 = 23211181653
BaseRepresentation
bin101100101000…
…1011011100110
31122000221210200
41121101123212
521442332324
62153331330
7402626013
oct131213346
948027720
1023402214
1112234480
127a06b46
134b04b84
14317270a
1520c3ec9
hex16516e6

23402214 has 48 divisors (see below), whose sum is σ = 55705104. Its totient is φ = 7041600.

The previous prime is 23402213. The next prime is 23402219. The reversal of 23402214 is 41220432.

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

23402214 is a modest number, since divided by 2214 gives 234 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23402213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35512 + ... + 36164.

It is an arithmetic number, because the mean of its divisors is an integer number (1160523).

Almost surely, 223402214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23402214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27852552).

23402214 is an abundant number, since it is smaller than the sum of its proper divisors (32302890).

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

23402214 is a wasteful number, since it uses less digits than its factorization.

23402214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23402214 is about 4837.5834876517. The cubic root of 23402214 is about 286.0348711291.

Adding to 23402214 its reverse (41220432), we get a palindrome (64622646).

It can be divided in two parts, 2340 and 2214, that added together give a palindrome (4554).

The spelling of 23402214 in words is "twenty-three million, four hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 653 1086 1306 1629 1959 1991 3258 3918 3982 5877 5973 7183 11754 11946 14366 17919 21549 35838 43098 64647 118193 129294 236386 354579 709158 1063737 1300123 2127474 2600246 3900369 7800738 11701107 23402214