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228666048 = 26313172317
BaseRepresentation
bin11011010000100…
…10101011000000
3120221021102211220
431220102223000
5432014303143
634405035040
75444425602
oct1550225300
9527242756
10228666048
11108092206
12646b5a80
13384b3070
1422525172
151511cd83
hexda12ac0

228666048 has 168 divisors, whose sum is σ = 694316112. Its totient is φ = 66011136.

The previous prime is 228666047. The next prime is 228666049. The reversal of 228666048 is 840666822.

It is an interprime number because it is at equal distance from previous prime (228666047) and next prime (228666049).

It is not an unprimeable number, because it can be changed into a prime (228666047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 721186 + ... + 721502.

It is an arithmetic number, because the mean of its divisors is an integer number (4132834).

Almost surely, 2228666048 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 228666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347158056).

228666048 is an abundant number, since it is smaller than the sum of its proper divisors (465650064).

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

228666048 is a wasteful number, since it uses less digits than its factorization.

228666048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 228666048 is about 15121.7078400556. The cubic root of 228666048 is about 611.5057738301.

The spelling of 228666048 in words is "two hundred twenty-eight million, six hundred sixty-six thousand, forty-eight".