Search a number
-
+
4222205568 = 27337375389
BaseRepresentation
bin1111101110101001…
…1011111010000000
3101220020211021012000
43323222123322000
532121341034233
61534544304000
7206426104140
oct37352337200
911806737160
104222205568
111877363599
1299a012000
13523981cb9
142c0a76920
1519aa18d13
hexfba9be80

4222205568 has 512 divisors, whose sum is σ = 15069888000. Its totient is φ = 1138655232.

The previous prime is 4222205503. The next prime is 4222205573. The reversal of 4222205568 is 8655022224.

4222205568 is a `hidden beast` number, since 422 + 220 + 5 + 5 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47440468 + ... + 47440556.

It is an arithmetic number, because the mean of its divisors is an integer number (29433375).

Almost surely, 24222205568 is an apocalyptic number.

4222205568 is a gapful number since it is divisible by the number (48) 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 4222205568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534944000).

4222205568 is an abundant number, since it is smaller than the sum of its proper divisors (10847682432).

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

4222205568 is a wasteful number, since it uses less digits than its factorization.

4222205568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4222205568 is about 64978.5008137307. The cubic root of 4222205568 is about 1616.2670701951.

The spelling of 4222205568 in words is "four billion, two hundred twenty-two million, two hundred five thousand, five hundred sixty-eight".