Search a number
-
+
802228 = 22724093
BaseRepresentation
bin11000011110110110100
31111202110011
43003312310
5201132403
625110004
76550600
oct3036664
91452404
10802228
114a87a9
12328304
132211bb
1416c500
1510ca6d
hexc3db4

802228 has 18 divisors (see below), whose sum is σ = 1633506. Its totient is φ = 343728.

The previous prime is 802189. The next prime is 802231. The reversal of 802228 is 822208.

It can be written as a sum of positive squares in only one way, i.e., 659344 + 142884 = 812^2 + 378^2 .

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 802199 and 802208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1851 + ... + 2242.

2802228 is an apocalyptic number.

It is an amenable number.

802228 is an abundant number, since it is smaller than the sum of its proper divisors (831278).

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

802228 is a wasteful number, since it uses less digits than its factorization.

802228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 802228 is about 895.6718148965. The cubic root of 802228 is about 92.9178756258.

The spelling of 802228 in words is "eight hundred two thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 4093 8186 16372 28651 57302 114604 200557 401114 802228