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23214220344 = 23327232002607
BaseRepresentation
bin10101100111101011…
…001110010000111000
32012220211122120122200
4111213223032100320
5340020320022334
614355305150200
71451161421460
oct254753162070
965824576580
1023214220344
119932905377
1245ba48b360
13225c584c73
1411a3132ba0
1590d027799
hex567ace438

23214220344 has 96 divisors (see below), whose sum is σ = 74977643520. Its totient is φ = 6344255808.

The previous prime is 23214220313. The next prime is 23214220363. The reversal of 23214220344 is 44302241232.

23214220344 is a `hidden beast` number, since 232 + 1 + 422 + 0 + 3 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989712 + ... + 1012895.

It is an arithmetic number, because the mean of its divisors is an integer number (781017120).

Almost surely, 223214220344 is an apocalyptic number.

23214220344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23214220344 is an abundant number, since it is smaller than the sum of its proper divisors (51763423176).

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

23214220344 is a wasteful number, since it uses less digits than its factorization.

23214220344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002649 (or 2002642 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 23214220344 its reverse (44302241232), we get a palindrome (67516461576).

The spelling of 23214220344 in words is "twenty-three billion, two hundred fourteen million, two hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 2002607 4005214 6007821 8010428 12015642 14018249 16020856 18023463 24031284 28036498 36046926 42054747 46059961 48062568 56072996 72093852 84109494 92119922 112145992 126164241 138179883 144187704 168218988 184239844 252328482 276359766 322419727 336437976 368479688 414539649 504656964 552719532 644839454 829079298 967259181 1009313928 1105439064 1289678908 1658158596 1934518362 2579357816 2901777543 3316317192 3869036724 5803555086 7738073448 11607110172 23214220344