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820898220 = 223583164839
BaseRepresentation
bin110000111011011…
…110100110101100
32010012122221122210
4300323132212230
53140122220340
6213242410420
726225343162
oct6073364654
92105587583
10820898220
11391414a8a
121aab00a10
131010bc0bc
147b049232
154c104180
hex30ede9ac

820898220 has 48 divisors (see below), whose sum is σ = 2326222080. Its totient is φ = 216267456.

The previous prime is 820898219. The next prime is 820898257. The reversal of 820898220 is 22898028.

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 15 ways as a sum of consecutive naturals, for example, 77440 + ... + 87399.

It is an arithmetic number, because the mean of its divisors is an integer number (48462960).

Almost surely, 2820898220 is an apocalyptic number.

It is an amenable number.

820898220 is an abundant number, since it is smaller than the sum of its proper divisors (1505323860).

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

820898220 is a wasteful number, since it uses less digits than its factorization.

820898220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164934 (or 164932 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 820898220 is about 28651.3214354940. The cubic root of 820898220 is about 936.3317957679.

It can be divided in two parts, 82089 and 8220, that added together give a palindrome (90309).

The spelling of 820898220 in words is "eight hundred twenty million, eight hundred ninety-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 164839 329678 494517 659356 824195 989034 1648390 1978068 2472585 3296780 4945170 9890340 13681637 27363274 41044911 54726548 68408185 82089822 136816370 164179644 205224555 273632740 410449110 820898220