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22180361424 = 2431342184431
BaseRepresentation
bin10100101010000011…
…010111010011010000
32010020210021002211120
4110222003113103100
5330411133031144
614104534042240
71413435650514
oct245203272320
963223232746
1022180361424
119452265911
1243701a9380
132126321520
141105ad0144
1589c3a8e19
hex52a0d74d0

22180361424 has 80 divisors (see below), whose sum is σ = 61854207744. Its totient is φ = 6808435200.

The previous prime is 22180361353. The next prime is 22180361459. The reversal of 22180361424 is 42416308122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220489 + ... + 304919.

Almost surely, 222180361424 is an apocalyptic number.

22180361424 is a gapful number since it is divisible by the number (24) 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 22180361424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30927103872).

22180361424 is an abundant number, since it is smaller than the sum of its proper divisors (39673846320).

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

22180361424 is a wasteful number, since it uses less digits than its factorization.

22180361424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84876 (or 84870 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 22180361424 its reverse (42416308122), we get a palindrome (64596669546).

The spelling of 22180361424 in words is "twenty-two billion, one hundred eighty million, three hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 421 624 842 1263 1684 2526 3368 5052 5473 6736 10104 10946 16419 20208 21892 32838 43784 65676 84431 87568 131352 168862 253293 262704 337724 506586 675448 1013172 1097603 1350896 2026344 2195206 3292809 4052688 4390412 6585618 8780824 13171236 17561648 26342472 35545451 52684944 71090902 106636353 142181804 213272706 284363608 426545412 462090863 568727216 853090824 924181726 1386272589 1706181648 1848363452 2772545178 3696726904 5545090356 7393453808 11090180712 22180361424