Search a number
-
+
4222218000 = 24353711131937
BaseRepresentation
bin1111101110101001…
…1110111100010000
3101220020211220020110
43323222132330100
532121341434000
61534544441320
7206426155320
oct37352367420
911806756213
104222218000
111877371970
1299a019240
13523987860
142c0a7b280
1519aa1c850
hexfba9ef10

4222218000 has 1280 divisors, whose sum is σ = 19758735360. Its totient is φ = 746496000.

The previous prime is 4222217983. The next prime is 4222218001. The reversal of 4222218000 is 8122224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4222218001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 114113982 + ... + 114114018.

It is an arithmetic number, because the mean of its divisors is an integer number (15436512).

Almost surely, 24222218000 is an apocalyptic number.

4222218000 is a gapful number since it is divisible by the number (40) 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 4222218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879367680).

4222218000 is an abundant number, since it is smaller than the sum of its proper divisors (15536517360).

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

4222218000 is a wasteful number, since it uses less digits than its factorization.

4222218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4222218000 is about 64978.5964760705. The cubic root of 4222218000 is about 1616.2686565234.

It can be divided in two parts, 4222 and 218000, that added together give a palindrome (222222).

The spelling of 4222218000 in words is "four billion, two hundred twenty-two million, two hundred eighteen thousand".