Search a number
-
+
3220233216 = 210359109163
BaseRepresentation
bin1011111111110000…
…1101110000000000
322022102102210111220
42333330031300000
523043334430331
61251312435040
7142541350014
oct27774156000
98272383456
103220233216
111402812972
1275a548a80
133c4204155
14227974544
1513ca98296
hexbff0dc00

3220233216 has 176 divisors, whose sum is σ = 8862691200. Its totient is φ = 1039122432.

The previous prime is 3220233199. The next prime is 3220233227. The reversal of 3220233216 is 6123320223.

3220233216 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 (24).

It is a congruent number.

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, 19755951 + ... + 19756113.

It is an arithmetic number, because the mean of its divisors is an integer number (50356200).

Almost surely, 23220233216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431345600).

3220233216 is an abundant number, since it is smaller than the sum of its proper divisors (5642457984).

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

3220233216 is a wasteful number, since it uses less digits than its factorization.

3220233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3220233216 is about 56747.0987452222. The cubic root of 3220233216 is about 1476.7119016445.

Adding to 3220233216 its reverse (6123320223), we get a palindrome (9343553439).

The spelling of 3220233216 in words is "three billion, two hundred twenty million, two hundred thirty-three thousand, two hundred sixteen".