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228614346 = 233191631367
BaseRepresentation
bin11011010000001…
…10000011001010
3120221011210221000
431220012003022
5432011124341
634403555430
75444122062
oct1550060312
9527153830
10228614346
11108057384
126468bb76
133849567c
14225103a2
151510c8b6
hexda060ca

228614346 has 64 divisors (see below), whose sum is σ = 538444800. Its totient is φ = 71698608.

The previous prime is 228614341. The next prime is 228614369. The reversal of 228614346 is 643416822.

228614346 is a `hidden beast` number, since 2 + 2 + 8 + 614 + 34 + 6 = 666.

228614346 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 228614346.

It is not an unprimeable number, because it can be changed into a prime (228614341) 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 31 ways as a sum of consecutive naturals, for example, 166555 + ... + 167921.

It is an arithmetic number, because the mean of its divisors is an integer number (8413200).

Almost surely, 2228614346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228614346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269222400).

228614346 is an abundant number, since it is smaller than the sum of its proper divisors (309830454).

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

228614346 is a wasteful number, since it uses less digits than its factorization.

228614346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 228614346 is about 15119.9982142856. The cubic root of 228614346 is about 611.4596826636.

The spelling of 228614346 in words is "two hundred twenty-eight million, six hundred fourteen thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 163 171 326 342 489 513 978 1026 1367 1467 2734 2934 3097 4101 4401 6194 8202 8802 9291 12303 18582 24606 25973 27873 36909 51946 55746 73818 77919 83619 155838 167238 222821 233757 445642 467514 668463 701271 1336926 1402542 2005389 4010778 4233599 6016167 8467198 12032334 12700797 25401594 38102391 76204782 114307173 228614346