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200820000820 = 22576113194481
BaseRepresentation
bin1011101100000111001…
…1100000100000110100
3201012100111021001011011
42323001303200200310
511242234410011240
6232131101322004
720336335561645
oct2730163404064
9635314231134
10200820000820
1178192722a2a
1232b06266304
1315c2518596a
149a10d756cc
15535544c6ea
hex2ec1ce0834

200820000820 has 24 divisors (see below), whose sum is σ = 422276201928. Its totient is φ = 80222438400.

The previous prime is 200820000817. The next prime is 200820000863. The reversal of 200820000820 is 28000028002.

It can be written as a sum of positive squares in 4 ways, for example, as 12510869904 + 188309130916 = 111852^2 + 433946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200820000791 and 200820000800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6582021 + ... + 6612460.

It is an arithmetic number, because the mean of its divisors is an integer number (17594841747).

Almost surely, 2200820000820 is an apocalyptic number.

200820000820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200820000820 is an abundant number, since it is smaller than the sum of its proper divisors (221456201108).

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

200820000820 is a wasteful number, since it uses less digits than its factorization.

200820000820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13195251 (or 13195249 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 200820000820 its reverse (28000028002), we get a palindrome (228820028822).

The spelling of 200820000820 in words is "two hundred billion, eight hundred twenty million, eight hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 761 1522 3044 3805 7610 15220 13194481 26388962 52777924 65972405 131944810 263889620 10041000041 20082000082 40164000164 50205000205 100410000410 200820000820