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228145056 = 25322310657
BaseRepresentation
bin11011001100100…
…11011110100000
3120220021222011220
431212103132200
5431401120211
634345535040
75440125636
oct1546233640
9526258156
10228145056
11107866837
12644a4480
133835cb99
142242b356
1515068806
hexd9937a0

228145056 has 48 divisors (see below), whose sum is σ = 601622784. Its totient is φ = 75700224.

The previous prime is 228145051. The next prime is 228145061. The reversal of 228145056 is 650541822.

228145056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228145051) and next prime (228145061).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (228145051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16080 + ... + 26736.

It is an arithmetic number, because the mean of its divisors is an integer number (12533808).

Almost surely, 2228145056 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 228145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300811392).

228145056 is an abundant number, since it is smaller than the sum of its proper divisors (373477728).

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

228145056 is a wasteful number, since it uses less digits than its factorization.

228145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10893 (or 10885 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 228145056 is about 15104.4713909491. The cubic root of 228145056 is about 611.0410030672.

Adding to 228145056 its reverse (650541822), we get a palindrome (878686878).

The spelling of 228145056 in words is "two hundred twenty-eight million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3568 5352 7136 10657 10704 21314 21408 31971 42628 63942 85256 127884 170512 255768 341024 511536 1023072 2376511 4753022 7129533 9506044 14259066 19012088 28518132 38024176 57036264 76048352 114072528 228145056