Search a number
-
+
23204412414 = 2334312837789
BaseRepresentation
bin10101100111000101…
…110011101111111110
32012220011012021201000
4111213011303233332
5340010312144124
614354315031130
71451012152101
oct254705635776
965804167630
1023204412414
119928316547
1245b713b4a6
13225a52c961
1411a1adc738
1590c23b6c9
hex567173bfe

23204412414 has 64 divisors (see below), whose sum is σ = 52812460800. Its totient is φ = 7548067296.

The previous prime is 23204412409. The next prime is 23204412419. The reversal of 23204412414 is 41421440232.

23204412414 is a `hidden beast` number, since 2 + 3 + 204 + 41 + 2 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (23204412409) and next prime (23204412419).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23204412419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975232 + ... + 2983020.

It is an arithmetic number, because the mean of its divisors is an integer number (825194700).

Almost surely, 223204412414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23204412414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26406230400).

23204412414 is an abundant number, since it is smaller than the sum of its proper divisors (29608048386).

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

23204412414 is a wasteful number, since it uses less digits than its factorization.

23204412414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 23204412414 its reverse (41421440232), we get a palindrome (64625852646).

The spelling of 23204412414 in words is "twenty-three billion, two hundred four million, four hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 1283 2322 2566 3849 7698 7789 11547 15578 23094 23367 34641 46734 55169 69282 70101 110338 140202 165507 210303 331014 334927 420606 496521 669854 993042 1004781 1489563 2009562 2979126 3014343 6028686 9043029 9993287 18086058 19986574 29979861 59959722 89939583 179879166 269818749 429711341 539637498 859422682 1289134023 2578268046 3867402069 7734804138 11602206207 23204412414