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208955012 = 22726117477
BaseRepresentation
bin11000111010001…
…10011010000100
3112120012000101112
430131012122010
5411443030022
632422344152
75115042200
oct1435063204
9476160345
10208955012
11a7a49aa2
1259b8b058
13343a1326
141da73b00
15135278e2
hexc746684

208955012 has 36 divisors (see below), whose sum is σ = 432370764. Its totient is φ = 88079040.

The previous prime is 208955011. The next prime is 208955029. The reversal of 208955012 is 210559802.

It can be written as a sum of positive squares in 2 ways, for example, as 11383876 + 197571136 = 3374^2 + 14056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 208955012.

It is not an unprimeable number, because it can be changed into a prime (208955011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3218 + ... + 20694.

It is an arithmetic number, because the mean of its divisors is an integer number (12010299).

Almost surely, 2208955012 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 208955012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216185382).

208955012 is an abundant number, since it is smaller than the sum of its proper divisors (223415752).

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

208955012 is a wasteful number, since it uses less digits than its factorization.

208955012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17556 (or 17547 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 208955012 is about 14455.2762685464. The cubic root of 208955012 is about 593.4046304370.

The spelling of 208955012 in words is "two hundred eight million, nine hundred fifty-five thousand, twelve".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 5978 11956 17477 34954 69908 122339 244678 489356 856373 1066097 1712746 2132194 3425492 4264388 7462679 14925358 29850716 52238753 104477506 208955012