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228915819 = 321119131929
BaseRepresentation
bin11011010010011…
…11101001101011
3120221202010110200
431221033221223
5432100301234
634414243243
75446516026
oct1551175153
9527663420
10228915819
11108242930
12647b6523
133856c962
142258c1bd
151516bd99
hexda4fa6b

228915819 has 48 divisors (see below), whose sum is σ = 383011200. Its totient is φ = 130291200.

The previous prime is 228915779. The next prime is 228915823. The reversal of 228915819 is 918519822.

It is not a de Polignac number, because 228915819 - 27 = 228915691 is a prime.

It is a super-2 number, since 2×2289158192 = 104804904376881522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228915019) 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 47 ways as a sum of consecutive naturals, for example, 245947 + ... + 246875.

It is an arithmetic number, because the mean of its divisors is an integer number (7979400).

Almost surely, 2228915819 is an apocalyptic number.

228915819 is a deficient number, since it is larger than the sum of its proper divisors (154095381).

228915819 is a wasteful number, since it uses less digits than its factorization.

228915819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1093 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 228915819 is about 15129.9642762301. The cubic root of 228915819 is about 611.7283412416.

The spelling of 228915819 in words is "two hundred twenty-eight million, nine hundred fifteen thousand, eight hundred nineteen".

Divisors: 1 3 9 11 19 33 57 99 131 171 209 393 627 929 1179 1441 1881 2489 2787 4323 7467 8361 10219 12969 17651 22401 27379 30657 52953 82137 91971 121699 158859 194161 246411 365097 582483 1095291 1338689 1747449 2312281 4016067 6936843 12048201 20810529 25435091 76305273 228915819