Search a number
-
+
200223434208 = 25372915168041
BaseRepresentation
bin1011101001111000111…
…1110010010111100000
3201010210220201022121110
42322132033302113200
511240024144343313
6231551551023320
720315503052460
oct2723617622740
9633726638543
10200223434208
1177a069aa676
123297a50ab40
1315b5b6bca75
149995a43ba0
15531cdabec3
hex2e9e3f25e0

200223434208 has 192 divisors, whose sum is σ = 625507384320. Its totient is φ = 54867456000.

The previous prime is 200223434161. The next prime is 200223434209. The reversal of 200223434208 is 802434322002.

It is a happy number.

200223434208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200223434209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2908668 + ... + 2976708.

It is an arithmetic number, because the mean of its divisors is an integer number (3257850960).

Almost surely, 2200223434208 is an apocalyptic number.

200223434208 is a gapful number since it is divisible by the number (28) 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 200223434208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312753692160).

200223434208 is an abundant number, since it is smaller than the sum of its proper divisors (425283950112).

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

200223434208 is a wasteful number, since it uses less digits than its factorization.

200223434208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68241 (or 68233 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 200223434208 in words is "two hundred billion, two hundred twenty-three million, four hundred thirty-four thousand, two hundred eight".