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22134242432 = 271943211657
BaseRepresentation
bin10100100111010011…
…011011110010000000
32010010120111000110202
4110213103123302000
5330312331224212
614100205344332
71412335646021
oct244723336200
963116430422
1022134242432
119429225a45
1243588680a8
1321198c4793
1410dd926c48
158982e90c2
hex5274dbc80

22134242432 has 64 divisors (see below), whose sum is σ = 47496055200. Its totient is φ = 10240763904.

The previous prime is 22134242419. The next prime is 22134242443. The reversal of 22134242432 is 23424243122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 22134242395 and 22134242404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1253 + ... + 210404.

Almost surely, 222134242432 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 22134242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748027600).

22134242432 is an abundant number, since it is smaller than the sum of its proper divisors (25361812768).

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

22134242432 is a wasteful number, since it uses less digits than its factorization.

22134242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211733 (or 211721 counting only the distinct ones).

The product of its digits is 18432, while the sum is 29.

Adding to 22134242432 its reverse (23424243122), we get a palindrome (45558485554).

The spelling of 22134242432 in words is "twenty-two billion, one hundred thirty-four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 304 344 608 688 817 1216 1376 1634 2432 2752 3268 5504 6536 13072 26144 52288 104576 211657 423314 846628 1693256 3386512 4021483 6773024 8042966 9101251 13546048 16085932 18202502 27092096 32171864 36405004 64343728 72810008 128687456 145620016 172923769 257374912 291240032 345847538 514749824 582480064 691695076 1164960128 1383390152 2766780304 5533560608 11067121216 22134242432