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209900808 = 23341324917
BaseRepresentation
bin11001000001011…
…01010100001000
3112121222001210000
430200231110020
5412213311213
632454523000
75126061465
oct1440552410
9477861700
10209900808
11a8535647
125a366460
1334642980
141dc3c66c
1513662c73
hexc82d508

209900808 has 80 divisors (see below), whose sum is σ = 633166380. Its totient is φ = 64582272.

The previous prime is 209900807. The next prime is 209900839. The reversal of 209900808 is 808009902.

209900808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 207878724 + 2022084 = 14418^2 + 1422^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (209900807) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4035 + ... + 20882.

Almost surely, 2209900808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209900808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316583190).

209900808 is an abundant number, since it is smaller than the sum of its proper divisors (423265572).

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

209900808 is a wasteful number, since it uses less digits than its factorization.

209900808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24948 (or 24935 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 209900808 is about 14487.9538928035. The cubic root of 209900808 is about 594.2985949017.

The spelling of 209900808 in words is "two hundred nine million, nine hundred thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 24917 49834 74751 99668 149502 199336 224253 299004 323921 448506 598008 647842 672759 897012 971763 1295684 1345518 1794024 1943526 2018277 2591368 2691036 2915289 3887052 4036554 5382072 5830578 7774104 8073108 8745867 11661156 16146216 17491734 23322312 26237601 34983468 52475202 69966936 104950404 209900808