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22161170304 = 2732713593583
BaseRepresentation
bin10100101000111010…
…001001111110000000
32010012110011002120100
4110220322021332000
5330341224422204
614103010442400
71413113560650
oct245072117600
963173132510
1022161170304
119442448289
124365893400
132122362330
141103336360
1589a867a39
hex528e89f80

22161170304 has 384 divisors, whose sum is σ = 79840051200. Its totient is φ = 5744037888.

The previous prime is 22161170303. The next prime is 22161170321. The reversal of 22161170304 is 40307116122.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×221611703042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22161170303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6183297 + ... + 6186879.

It is an arithmetic number, because the mean of its divisors is an integer number (207916800).

Almost surely, 222161170304 is an apocalyptic number.

22161170304 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 22161170304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39920025600).

22161170304 is an abundant number, since it is smaller than the sum of its proper divisors (57678880896).

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

22161170304 is a wasteful number, since it uses less digits than its factorization.

22161170304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 22161170304 its reverse (40307116122), we get a palindrome (62468286426).

The spelling of 22161170304 in words is "twenty-two billion, one hundred sixty-one million, one hundred seventy thousand, three hundred four".