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228009120 = 253519231087
BaseRepresentation
bin11011001011100…
…10010010100000
3120220001001201020
431211302102200
5431332242440
634343005440
75436021423
oct1545622240
9526031636
10228009120
11107783699
1264439880
1338313051
14223d39ba
151503d3d0
hexd9724a0

228009120 has 192 divisors, whose sum is σ = 789626880. Its totient is φ = 55047168.

The previous prime is 228009071. The next prime is 228009161. The reversal of 228009120 is 21900822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209217 + ... + 210303.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2228009120 is an apocalyptic number.

228009120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

228009120 is an abundant number, since it is smaller than the sum of its proper divisors (561617760).

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

228009120 is a wasteful number, since it uses less digits than its factorization.

228009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 228009120 is about 15099.9708608990. The cubic root of 228009120 is about 610.9196198067.

Adding to 228009120 its reverse (21900822), we get a palindrome (249909942).

The spelling of 228009120 in words is "two hundred twenty-eight million, nine thousand, one hundred twenty".