Search a number
-
+
8916228 = 2232172857
BaseRepresentation
bin100010000000…
…110100000100
3121202222202200
4202000310010
54240304403
6515034500
7135533556
oct42006404
917688680
108916228
11503a992
122b9ba30
131b02499
1412814d6
15bb1ca3
hex880d04

8916228 has 54 divisors (see below), whose sum is σ = 23969946. Its totient is φ = 2793984.

The previous prime is 8916217. The next prime is 8916233. The reversal of 8916228 is 8226198.

It can be written as a sum of positive squares in 3 ways, for example, as 5846724 + 3069504 = 2418^2 + 1752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8916192 and 8916201.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9976 + ... + 10832.

Almost surely, 28916228 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 8916228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11984973).

8916228 is an abundant number, since it is smaller than the sum of its proper divisors (15053718).

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

8916228 is a wasteful number, since it uses less digits than its factorization.

8916228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 879 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 8916228 is about 2986.0053583341. The cubic root of 8916228 is about 207.3609888106.

The spelling of 8916228 in words is "eight million, nine hundred sixteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 857 867 1156 1714 1734 2571 2601 3428 3468 5142 5202 7713 10284 10404 14569 15426 29138 30852 43707 58276 87414 131121 174828 247673 262242 495346 524484 743019 990692 1486038 2229057 2972076 4458114 8916228