Search a number
-
+
23224023130014 = 23272291891342557
BaseRepresentation
bin1010100011111010000111…
…01001100001111110011110
310001020012021002202220201100
411101331003221201332132
511021000244410130024
6121220545142453530
74614610641326640
oct521750351417636
9101205232686640
1023224023130014
117444286676073
122730b7a4342a6
13cc602916a125
145a4097972890
152a419baad7c9
hex151f43a61f9e

23224023130014 has 96 divisors (see below), whose sum is σ = 57762638781120. Its totient is φ = 6605954942976.

The previous prime is 23224023129953. The next prime is 23224023130069. The reversal of 23224023130014 is 41003132042232.

23224023130014 is a `hidden beast` number, since 2 + 322 + 4 + 0 + 2 + 31 + 300 + 1 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23224023130014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545694424 + ... + 545736980.

It is an arithmetic number, because the mean of its divisors is an integer number (601694153970).

Almost surely, 223224023130014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23224023130014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28881319390560).

23224023130014 is an abundant number, since it is smaller than the sum of its proper divisors (34538615651106).

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

23224023130014 is a wasteful number, since it uses less digits than its factorization.

23224023130014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61714 (or 61711 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23224023130014 its reverse (41003132042232), we get a palindrome (64227155172246).

The spelling of 23224023130014 in words is "twenty-three trillion, two hundred twenty-four billion, twenty-three million, one hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 229 458 687 1374 1603 2061 3206 4122 4809 9618 14427 18913 28854 37826 42557 56739 85114 113478 127671 132391 170217 255342 264782 297899 340434 383013 397173 595798 766026 794346 893697 1191519 1787394 2383038 2681091 4331077 5362182 8662154 9745553 12993231 19491106 25986462 29236659 30317539 38979693 58473318 60635078 68218871 77959386 87709977 90952617 136437742 175419954 181905234 204656613 272857851 409313226 545715702 613969839 804880541 1227939678 1609761082 2414641623 4829283246 5634163787 7243924869 11268327574 14487849738 16902491361 33804982722 50707474083 101414948166 184317643889 368635287778 552952931667 1105905863334 1290223507223 1658858795001 2580447014446 3317717590002 3870670521669 7741341043338 11612011565007 23224023130014