Search a number
-
+
208221773312 = 297475383281
BaseRepresentation
bin1100000111101011111…
…1000001111000000000
3201220110100000001012002
43001322333001320000
511402414233221222
6235353351123132
721020633604410
oct3017277017000
9656410001162
10208221773312
1180340843183
12344310734a8
13168347a0bb7
14a113dd8640
15563a17a392
hex307afc1e00

208221773312 has 320 divisors, whose sum is σ = 502491838464. Its totient is φ = 84357611520.

The previous prime is 208221773311. The next prime is 208221773323. The reversal of 208221773312 is 213377122802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208221773311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741002612 + ... + 741002892.

Almost surely, 2208221773312 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 208221773312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251245919232).

208221773312 is an abundant number, since it is smaller than the sum of its proper divisors (294270065152).

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

208221773312 is an equidigital number, since it uses as much as digits as its factorization.

208221773312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 208221773312 in words is "two hundred eight billion, two hundred twenty-one million, seven hundred seventy-three thousand, three hundred twelve".