Search a number
-
+
4222433000 = 23534789839
BaseRepresentation
bin1111101110101101…
…0011011011101000
3101220021020211011102
43323223103123220
532121420324000
61534553220532
7206431042202
oct37353233350
911807224142
104222433000
1118774a9455
1299a101748
13523a31686
142c0ad5772
1519aa613d5
hexfbad36e8

4222433000 has 64 divisors (see below), whose sum is σ = 10090828800. Its totient is φ = 1653019200.

The previous prime is 4222432937. The next prime is 4222433071. The reversal of 4222433000 is 3342224.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2081 + ... + 91919.

It is an arithmetic number, because the mean of its divisors is an integer number (157669200).

Almost surely, 24222433000 is an apocalyptic number.

4222433000 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 4222433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045414400).

4222433000 is an abundant number, since it is smaller than the sum of its proper divisors (5868395800).

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

4222433000 is a wasteful number, since it uses less digits than its factorization.

4222433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89907 (or 89893 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4222433000 is about 64980.2508459301. The cubic root of 4222433000 is about 1616.2960901189.

Adding to 4222433000 its reverse (3342224), we get a palindrome (4225775224).

The spelling of 4222433000 in words is "four billion, two hundred twenty-two million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 4700 5875 9400 11750 23500 47000 89839 179678 359356 449195 718712 898390 1796780 2245975 3593560 4222433 4491950 8444866 8983900 11229875 16889732 17967800 21112165 22459750 33779464 42224330 44919500 84448660 89839000 105560825 168897320 211121650 422243300 527804125 844486600 1055608250 2111216500 4222433000