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22321404504340 = 22537211188975679
BaseRepresentation
bin1010001001101000110110…
…11000101110100100010100
32221000220110001120212100221
411010310123120232210110
510411203214023114330
6115250151153044124
74462445132522134
oct504643330564424
987026401525327
1022321404504340
1171264aaa1a027
122606055256644
13c5bb90019396
1457250c89aac4
1528a96e722b7a
hex144d1b62e914

22321404504340 has 96 divisors (see below), whose sum is σ = 48396245990400. Its totient is φ = 8641386270720.

The previous prime is 22321404504241. The next prime is 22321404504359. The reversal of 22321404504340 is 4340540412322.

It is a super-3 number, since 3×223214045043403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22321404504296 and 22321404504305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294910621 + ... + 294986299.

It is an arithmetic number, because the mean of its divisors is an integer number (504127562400).

Almost surely, 222321404504340 is an apocalyptic number.

22321404504340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22321404504340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24198122995200).

22321404504340 is an abundant number, since it is smaller than the sum of its proper divisors (26074841486060).

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

22321404504340 is a wasteful number, since it uses less digits than its factorization.

22321404504340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77825 (or 77823 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 22321404504340 its reverse (4340540412322), we get a palindrome (26661944916662).

The spelling of 22321404504340 in words is "twenty-two trillion, three hundred twenty-one billion, four hundred four million, five hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 211 370 422 740 844 1055 1889 2110 3778 4220 7556 7807 9445 15614 18890 31228 37780 39035 69893 75679 78070 139786 151358 156140 279572 302716 349465 378395 398579 698930 756790 797158 1397860 1513580 1594316 1992895 2800123 3985790 5600246 7971580 11200492 14000615 14747423 15968269 28001230 29494846 31936538 56002460 58989692 63873076 73737115 79841345 142957631 147474230 159682690 285915262 294948460 319365380 571830524 590825953 714788155 1181651906 1429576310 2363303812 2859152620 2954129765 5289432347 5908259530 10578864694 11816519060 21157729388 26447161735 30164060141 52894323470 60328120282 105788646940 120656240564 150820300705 301640601410 603281202820 1116070225217 2232140450434 4464280900868 5580351126085 11160702252170 22321404504340