Search a number
-
+
22232144000 = 275311592141
BaseRepresentation
bin10100101101001000…
…111001100010000000
32010101101200221011202
4110231020321202000
5331012412102000
614114024000332
71414635051233
oct245510714200
963341627152
1022232144000
119479513930
1243856000a8
132133c820c1
14110c92d41a
158a1bd6dd5
hex52d239880

22232144000 has 256 divisors, whose sum is σ = 61350307200. Its totient is φ = 7943680000.

The previous prime is 22232143993. The next prime is 22232144023. The reversal of 22232144000 is 44123222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10382930 + ... + 10385070.

Almost surely, 222232144000 is an apocalyptic number.

22232144000 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 22232144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30675153600).

22232144000 is an abundant number, since it is smaller than the sum of its proper divisors (39118163200).

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

22232144000 is a wasteful number, since it uses less digits than its factorization.

22232144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22232144000 its reverse (44123222), we get a palindrome (22276267222).

The spelling of 22232144000 in words is "twenty-two billion, two hundred thirty-two million, one hundred forty-four thousand".