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208114308 = 22324722617
BaseRepresentation
bin11000110011110…
…01001010000100
3112111121022011100
430121321022010
5411234124213
632352340100
75104641153
oct1431711204
9474538140
10208114308
11a75253a6
1259844630
133416877c
141d8d559a
151340d773
hexc679284

208114308 has 54 divisors (see below), whose sum is σ = 537703166. Its totient is φ = 67869504.

The previous prime is 208114297. The next prime is 208114331. The reversal of 208114308 is 803411802.

It can be written as a sum of positive squares in only one way, i.e., 206841924 + 1272384 = 14382^2 + 1128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78216 + ... + 80832.

Almost surely, 2208114308 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 208114308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268851583).

208114308 is an abundant number, since it is smaller than the sum of its proper divisors (329588858).

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

208114308 is a wasteful number, since it uses less digits than its factorization.

208114308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 208114308 is about 14426.1674744195. The cubic root of 208114308 is about 592.6077313052.

The spelling of 208114308 in words is "two hundred eight million, one hundred fourteen thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 2209 2617 4418 5234 6627 7851 8836 10468 13254 15702 19881 23553 26508 31404 39762 47106 79524 94212 122999 245998 368997 491996 737994 1106991 1475988 2213982 4427964 5780953 11561906 17342859 23123812 34685718 52028577 69371436 104057154 208114308