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8228288 = 26831549
BaseRepresentation
bin11111011000110111000000
3120111001002102
4133120313000
54101301123
6452205532
7126640115
oct37306700
916431072
108228288
114710042
1229098a8
131921313
14114290c
15ac8028
hex7d8dc0

8228288 has 28 divisors (see below), whose sum is σ = 16535400. Its totient is φ = 4061952.

The previous prime is 8228267. The next prime is 8228293. The reversal of 8228288 is 8828228.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4538 + ... + 6086.

It is an arithmetic number, because the mean of its divisors is an integer number (590550).

Almost surely, 28228288 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 8228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267700).

8228288 is an abundant number, since it is smaller than the sum of its proper divisors (8307112).

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

8228288 is a wasteful number, since it uses less digits than its factorization.

8228288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1634 counting only the distinct ones).

The product of its digits is 32768, while the sum is 38.

The square root of 8228288 is about 2868.4992591946. The cubic root of 8228288 is about 201.8845859014.

The spelling of 8228288 in words is "eight million, two hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 1549 2656 3098 5312 6196 12392 24784 49568 99136 128567 257134 514268 1028536 2057072 4114144 8228288