Search a number
-
+
3220313220 = 2233559611657
BaseRepresentation
bin1011111111110010…
…0001010010000100
322022102120212021000
42333330201102010
523043400010340
61251314253300
7142542132165
oct27774412204
98272525230
103220313220
111402867a93
1275a587230
133c42316a7
1422799576c
1513cab1d30
hexbff21484

3220313220 has 192 divisors, whose sum is σ = 10361836800. Its totient is φ = 829854720.

The previous prime is 3220313209. The next prime is 3220313221. The reversal of 3220313220 is 223130223.

It is a happy number.

3220313220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3220313193 and 3220313202.

It is not an unprimeable number, because it can be changed into a prime (3220313221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1942632 + ... + 1944288.

It is an arithmetic number, because the mean of its divisors is an integer number (53967900).

Almost surely, 23220313220 is an apocalyptic number.

3220313220 is a gapful number since it is divisible by the number (30) 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 3220313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180918400).

3220313220 is an abundant number, since it is smaller than the sum of its proper divisors (7141523580).

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

3220313220 is a wasteful number, since it uses less digits than its factorization.

3220313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3220313220 is about 56747.8036579390. The cubic root of 3220313220 is about 1476.7241307671.

Adding to 3220313220 its reverse (223130223), we get a palindrome (3443443443).

The spelling of 3220313220 in words is "three billion, two hundred twenty million, three hundred thirteen thousand, two hundred twenty".