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228051414 = 232193531889
BaseRepresentation
bin11011001011111…
…00100111010110
3120220010012201200
431211330213112
5431340121124
634343533330
75436255633
oct1545744726
9526105650
10228051414
11107802448
126445a246
1338329386
142240518a
151504abc9
hexd97c9d6

228051414 has 48 divisors (see below), whose sum is σ = 521866800. Its totient is φ = 71774208.

The previous prime is 228051391. The next prime is 228051419. The reversal of 228051414 is 414150822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228051419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119782 + ... + 121670.

It is an arithmetic number, because the mean of its divisors is an integer number (10872225).

Almost surely, 2228051414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228051414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260933400).

228051414 is an abundant number, since it is smaller than the sum of its proper divisors (293815386).

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

228051414 is a wasteful number, since it uses less digits than its factorization.

228051414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 228051414 is about 15101.3712622397. The cubic root of 228051414 is about 610.9573911569.

The spelling of 228051414 in words is "two hundred twenty-eight million, fifty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 353 706 1059 1889 2118 3177 3778 5667 6354 6707 11334 13414 17001 20121 34002 35891 40242 60363 71782 107673 120726 215346 323019 646038 666817 1333634 2000451 4000902 6001353 12002706 12669523 25339046 38008569 76017138 114025707 228051414