Search a number
-
+
32214420024 = 23347137208459
BaseRepresentation
bin11110000000001000…
…010000101000111000
310002011002010002120120
4132000020100220320
51011433342420044
622444334453240
72220206023623
oct360010205070
9102132102516
1032214420024
1112731222626
1262b0664220
1330650a50c7
1417b859adba
15c88243519
hex780210a38

32214420024 has 64 divisors (see below), whose sum is σ = 82850342400. Its totient is φ = 10432905984.

The previous prime is 32214420023. The next prime is 32214420041. The reversal of 32214420024 is 42002441223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 32214419976 and 32214420003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32214420023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50307 + ... + 258765.

It is an arithmetic number, because the mean of its divisors is an integer number (1294536600).

Almost surely, 232214420024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32214420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41425171200).

32214420024 is an abundant number, since it is smaller than the sum of its proper divisors (50635922376).

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

32214420024 is a wasteful number, since it uses less digits than its factorization.

32214420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208652 (or 208648 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 32214420024 its reverse (42002441223), we get a palindrome (74216861247).

The spelling of 32214420024 in words is "thirty-two billion, two hundred fourteen million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 137 141 188 274 282 376 411 548 564 822 1096 1128 1644 3288 6439 12878 19317 25756 38634 51512 77268 154536 208459 416918 625377 833836 1250754 1667672 2501508 5003016 9797573 19595146 28558883 29392719 39190292 57117766 58785438 78380584 85676649 114235532 117570876 171353298 228471064 235141752 342706596 685413192 1342267501 2684535002 4026802503 5369070004 8053605006 10738140008 16107210012 32214420024