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802224 = 2434619
BaseRepresentation
bin11000011110110110000
31111202110000
43003312300
5201132344
625110000
76550563
oct3036660
91452400
10802224
114a87a5
12328300
132211b7
1416c4da
1510ca69
hexc3db0

802224 has 50 divisors (see below), whose sum is σ = 2325620. Its totient is φ = 266976.

The previous prime is 802189. The next prime is 802231. The reversal of 802224 is 422208.

802224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 802197 and 802206.

It is an unprimeable number.

802224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 987 + ... + 1605.

2802224 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 802224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162810).

802224 is an abundant number, since it is smaller than the sum of its proper divisors (1523396).

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

802224 is a wasteful number, since it uses less digits than its factorization.

802224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 802224 is about 895.6695819330. The cubic root of 802224 is about 92.9177211925.

It can be divided in two parts, 80 and 2224, that added together give a square (2304 = 482).

The spelling of 802224 in words is "eight hundred two thousand, two hundred twenty-four".