Search a number
-
+
2287208 = 237114779
BaseRepresentation
bin1000101110011001101000
311022012110102
420232121220
51041142313
6121004532
725304150
oct10563150
94265412
102287208
111322460
12923748
136210a1
14437760
15302a58
hex22e668

2287208 has 64 divisors (see below), whose sum is σ = 5529600. Its totient is φ = 861120.

The previous prime is 2287199. The next prime is 2287223. The reversal of 2287208 is 8027822.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28913 + ... + 28991.

It is an arithmetic number, because the mean of its divisors is an integer number (86400).

22287208 is an apocalyptic number.

2287208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764800).

2287208 is an abundant number, since it is smaller than the sum of its proper divisors (3242392).

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

2287208 is a wasteful number, since it uses less digits than its factorization.

2287208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2287208 is about 1512.3518109223. The cubic root of 2287208 is about 131.7554394306.

The spelling of 2287208 in words is "two million, two hundred eighty-seven thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 77 79 88 94 154 158 188 308 316 329 376 517 553 616 632 658 869 1034 1106 1316 1738 2068 2212 2632 3476 3619 3713 4136 4424 6083 6952 7238 7426 12166 14476 14852 24332 25991 28952 29704 40843 48664 51982 81686 103964 163372 207928 285901 326744 571802 1143604 2287208