Search a number
-
+
200885065920 = 263257115631609
BaseRepresentation
bin1011101100010110101…
…1101101100011000000
3201012112000200200200200
42323011223231203000
511242403034102140
6232141344045200
720341055613060
oct2730553554300
9635460620620
10200885065920
1178216423340
1232b24003800
1315c357b7216
149a198713a0
15535b001030
hex2ec5aed8c0

200885065920 has 672 divisors, whose sum is σ = 863524247040. Its totient is φ = 41642311680.

The previous prime is 200885065889. The next prime is 200885065937. The reversal of 200885065920 is 29560588002.

200885065920 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 8 + 50 + 6 + 592 + 0 = 666.

200885065920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124850076 + ... + 124851684.

It is an arithmetic number, because the mean of its divisors is an integer number (1285006320).

Almost surely, 2200885065920 is an apocalyptic number.

200885065920 is a gapful number since it is divisible by the number (20) 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 200885065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431762123520).

200885065920 is an abundant number, since it is smaller than the sum of its proper divisors (662639181120).

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

200885065920 is a wasteful number, since it uses less digits than its factorization.

200885065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 200885065920 in words is "two hundred billion, eight hundred eighty-five million, sixty-five thousand, nine hundred twenty".