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2286216 = 2332113281
BaseRepresentation
bin1000101110001010001000
311022011002200
420232022020
51041124331
6121000200
725301232
oct10561210
94264080
102286216
111321739
12923060
136207ba
14437252
153025e6
hex22e288

2286216 has 48 divisors (see below), whose sum is σ = 6268860. Its totient is φ = 752640.

The previous prime is 2286203. The next prime is 2286233. The reversal of 2286216 is 6126822.

It can be written as a sum of positive squares in 2 ways, for example, as 2160900 + 125316 = 1470^2 + 354^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2286216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7996 + ... + 8276.

22286216 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 2286216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134430).

2286216 is an abundant number, since it is smaller than the sum of its proper divisors (3982644).

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

2286216 is a wasteful number, since it uses less digits than its factorization.

2286216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2286216 is about 1512.0238093363. The cubic root of 2286216 is about 131.7363885039.

Subtracting 2286216 from its reverse (6126822), we obtain a triangular number (3840606 = T2771).

The spelling of 2286216 in words is "two million, two hundred eighty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 281 339 452 562 678 843 904 1017 1124 1356 1686 2034 2248 2529 2712 3372 4068 5058 6744 8136 10116 20232 31753 63506 95259 127012 190518 254024 285777 381036 571554 762072 1143108 2286216