Search a number
-
+
3266505216 = 293213311759
BaseRepresentation
bin1100001010110010…
…1110101000000000
322102122111122202200
43002230232220000
523142211131331
61300044313200
7143642556552
oct30254565000
98378448680
103266505216
111426947797
12771b42800
13400985730
1422db7b4d2
15141b885e6
hexc2b2ea00

3266505216 has 240 divisors, whose sum is σ = 10485995520. Its totient is φ = 972103680.

The previous prime is 3266505197. The next prime is 3266505233. The reversal of 3266505216 is 6125056623.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1856145 + ... + 1857903.

It is an arithmetic number, because the mean of its divisors is an integer number (43691648).

Almost surely, 23266505216 is an apocalyptic number.

3266505216 is a gapful number since it is divisible by the number (36) 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 3266505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242997760).

3266505216 is an abundant number, since it is smaller than the sum of its proper divisors (7219490304).

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

3266505216 is a wasteful number, since it uses less digits than its factorization.

3266505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3266505216 is about 57153.3482483747. The cubic root of 3266505216 is about 1483.7513211753.

The spelling of 3266505216 in words is "three billion, two hundred sixty-six million, five hundred five thousand, two hundred sixteen".