Search a number
-
+
2288208 = 2431319193
BaseRepresentation
bin1000101110101001010000
311022020211110
420232221100
51041210313
6121013320
725310106
oct10565120
94266743
102288208
11132318a
12924240
13621690
14437c76
15302ec3
hex22ea50

2288208 has 80 divisors (see below), whose sum is σ = 6735680. Its totient is φ = 663552.

The previous prime is 2288207. The next prime is 2288213. The reversal of 2288208 is 8028822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11760 + ... + 11952.

It is an arithmetic number, because the mean of its divisors is an integer number (84196).

22288208 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 2288208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367840).

2288208 is an abundant number, since it is smaller than the sum of its proper divisors (4447472).

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

2288208 is a wasteful number, since it uses less digits than its factorization.

2288208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2288208 is about 1512.6823856977. The cubic root of 2288208 is about 131.7746384194.

It can be divided in two parts, 228 and 8208, that multiplied together give a square (1871424 = 13682).

The spelling of 2288208 in words is "two million, two hundred eighty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 193 208 228 247 304 312 386 456 494 579 624 741 772 912 988 1158 1482 1544 1976 2316 2509 2964 3088 3667 3952 4632 5018 5928 7334 7527 9264 10036 11001 11856 14668 15054 20072 22002 29336 30108 40144 44004 47671 58672 60216 88008 95342 120432 143013 176016 190684 286026 381368 572052 762736 1144104 2288208