Search a number
-
+
3822206976 = 2143272232
BaseRepresentation
bin1110001111010010…
…0100000000000000
3100212101011020021100
43203310210000000
530311441110401
61431135054400
7163501136400
oct34364440000
910771136240
103822206976
111691599745
128a8071400
1348bb41243
142838b2800
15175855b86
hexe3d24000

3822206976 has 405 divisors, whose sum is σ = 13427031891. Its totient is φ = 1044578304.

The previous prime is 3822206959. The next prime is 3822207013. The reversal of 3822206976 is 6796022283.

The square root of 3822206976 is 61824.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166182901 + ... + 166182923.

Almost surely, 23822206976 is an apocalyptic number.

3822206976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3822206976 is the 61824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3822206976

3822206976 is an abundant number, since it is smaller than the sum of its proper divisors (9604824915).

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

3822206976 is an equidigital number, since it uses as much as digits as its factorization.

3822206976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 3822206976 is about 1563.5246536973.

The spelling of 3822206976 in words is "three billion, eight hundred twenty-two million, two hundred six thousand, nine hundred seventy-six".