Search a number
-
+
23104253214 = 2347103197807
BaseRepresentation
bin10101100001000111…
…101110110100011110
32012122011201200010000
4111201013232310132
5334304142100324
614340340155130
71445354624550
oct254107566436
965564650100
1023104253214
119886826449
124589698aa6
132242861863
1411926a94d0
159035549c9
hex5611eed1e

23104253214 has 80 divisors (see below), whose sum is σ = 59741180928. Its totient is φ = 6537092688.

The previous prime is 23104253209. The next prime is 23104253219. The reversal of 23104253214 is 41235240132.

23104253214 is a `hidden beast` number, since 2 + 310 + 4 + 25 + 321 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23104253209) and next prime (23104253219).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23104253219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17899 + ... + 215705.

Almost surely, 223104253214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23104253214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29870590464).

23104253214 is an abundant number, since it is smaller than the sum of its proper divisors (36636927714).

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

23104253214 is a wasteful number, since it uses less digits than its factorization.

23104253214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197931 (or 197922 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 23104253214 its reverse (41235240132), we get a palindrome (64339493346).

It can be divided in two parts, 2310 and 4253214, that added together give a palindrome (4255524).

The spelling of 23104253214 in words is "twenty-three billion, one hundred four million, two hundred fifty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 103 126 162 189 206 309 378 567 618 721 927 1134 1442 1854 2163 2781 4326 5562 6489 8343 12978 16686 19467 38934 58401 116802 197807 395614 593421 1186842 1384649 1780263 2769298 3560526 4153947 5340789 8307894 10681578 12461841 16022367 20374121 24923682 32044734 37385523 40748242 61122363 74771046 112156569 122244726 142618847 183367089 224313138 285237694 366734178 427856541 550101267 855713082 1100202534 1283569623 1650303801 2567139246 3300607602 3850708869 7701417738 11552126607 23104253214