Search a number
-
+
206399525220 = 223357471161767
BaseRepresentation
bin1100000000111001011…
…1101101000101100100
3201201202100010020202000
43000032113231011210
511340201234301340
6234452454045300
720624526005640
oct3001627550544
9651670106660
10206399525220
117a596173219
1234002949830
13166040c13a5
149dbddadc20
1555801c9d30
hex300e5ed164

206399525220 has 192 divisors, whose sum is σ = 749479772160. Its totient is φ = 46173227904.

The previous prime is 206399525209. The next prime is 206399525263. The reversal of 206399525220 is 22525993602.

206399525220 is a `hidden beast` number, since 2 + 0 + 6 + 39 + 95 + 2 + 522 + 0 = 666.

It is a super-3 number, since 3×2063995252203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403224 + ... + 758543.

It is an arithmetic number, because the mean of its divisors is an integer number (3903540480).

Almost surely, 2206399525220 is an apocalyptic number.

206399525220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206399525220 is an abundant number, since it is smaller than the sum of its proper divisors (543080246940).

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

206399525220 is a wasteful number, since it uses less digits than its factorization.

206399525220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161839 (or 1161831 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 206399525220 in words is "two hundred six billion, three hundred ninety-nine million, five hundred twenty-five thousand, two hundred twenty".