Search a number
-
+
22118400000 = 2183355
BaseRepresentation
bin10100100110010111…
…000000000000000000
32010002110200010202000
4110212113000000000
5330244302300000
614054442024000
71412054204124
oct244627000000
963073603660
1022118400000
119420295324
1243534a8000
132116538868
1410db7a1584
15896c1a000
hex5265c0000

22118400000 has 456 divisors, whose sum is σ = 81914600880. Its totient is φ = 5898240000.

The previous prime is 22118399999. The next prime is 22118400019. The reversal of 22118400000 is 481122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4423679998 + ... + 4423680002.

Almost surely, 222118400000 is an apocalyptic number.

22118400000 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 22118400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40957300440).

22118400000 is an abundant number, since it is smaller than the sum of its proper divisors (59796200880).

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

22118400000 is an frugal number, since it uses more digits than its factorization.

22118400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22118400000 its reverse (481122), we get a palindrome (22118881122).

The spelling of 22118400000 in words is "twenty-two billion, one hundred eighteen million, four hundred thousand".