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228146477 = 13173727901
BaseRepresentation
bin11011001100100…
…11110100101101
3120220022001010112
431212103310231
5431401141402
634345545405
75440133036
oct1546236455
9526261115
10228146477
11107867909
12644a5265
1338360720
142242ba8d
1515068e52
hexd993d2d

228146477 has 16 divisors (see below), whose sum is σ = 267189552. Its totient is φ = 192844800.

The previous prime is 228146473. The next prime is 228146489. The reversal of 228146477 is 774641822.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37319881 + 190826596 = 6109^2 + 13814^2 .

It is a cyclic number.

It is not a de Polignac number, because 228146477 - 22 = 228146473 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228146473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5774 + ... + 22127.

It is an arithmetic number, because the mean of its divisors is an integer number (16699347).

Almost surely, 2228146477 is an apocalyptic number.

It is an amenable number.

228146477 is a deficient number, since it is larger than the sum of its proper divisors (39043075).

228146477 is a wasteful number, since it uses less digits than its factorization.

228146477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27968.

The product of its digits is 150528, while the sum is 41.

The square root of 228146477 is about 15104.5184299269. The cubic root of 228146477 is about 611.0422716862.

The spelling of 228146477 in words is "two hundred twenty-eight million, one hundred forty-six thousand, four hundred seventy-seven".

Divisors: 1 13 17 37 221 481 629 8177 27901 362713 474317 1032337 6166121 13420381 17549729 228146477