Search a number
-
+
22680000000 = 2934577
BaseRepresentation
bin10101000111110101…
…010101011000000000
32011112121102101010000
4111013311111120000
5332422040000000
614230303040000
71432013550660
oct250765253000
964477371100
1022680000000
1196892a5759
12448b5a0000
1321a59aac58
1411521d01a0
158cb1a0000
hex547d55600

22680000000 has 800 divisors, whose sum is σ = 96705221184. Its totient is φ = 5184000000.

The previous prime is 22679999987. The next prime is 22680000059. The reversal of 22680000000 is 8622.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3239999997 + ... + 3240000003.

Almost surely, 222680000000 is an apocalyptic number.

22680000000 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 22680000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48352610592).

22680000000 is an abundant number, since it is smaller than the sum of its proper divisors (74025221184).

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

22680000000 is an frugal number, since it uses more digits than its factorization.

22680000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22680000000 its reverse (8622), we get a palindrome (22680008622).

The spelling of 22680000000 in words is "twenty-two billion, six hundred eighty million", and thus it is an aban number.