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258466229 = 7226919609
BaseRepresentation
bin11110110011111…
…10000110110101
3200000100110000022
433121332012311
51012131404404
641351454525
76255632600
oct1731760665
9600313008
10258466229
1112299655a
1272687445
13417180c8
1426481337
1517a578be
hexf67e1b5

258466229 has 12 divisors (see below), whose sum is σ = 301797900. Its totient is φ = 220707648.

The previous prime is 258466223. The next prime is 258466231. The reversal of 258466229 is 922664852.

258466229 = 4072 + 4082 + ... + 9442.

It can be written as a sum of positive squares in 2 ways, for example, as 157000900 + 101465329 = 12530^2 + 10073^2 .

It is not a de Polignac number, because 258466229 - 212 = 258462133 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 258466229.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258466223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3377 + ... + 22985.

It is an arithmetic number, because the mean of its divisors is an integer number (25149825).

Almost surely, 2258466229 is an apocalyptic number.

It is an amenable number.

258466229 is a deficient number, since it is larger than the sum of its proper divisors (43331671).

258466229 is a wasteful number, since it uses less digits than its factorization.

258466229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19892 (or 19885 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 258466229 is about 16076.8849283684. The cubic root of 258466229 is about 636.9929154306.

The spelling of 258466229 in words is "two hundred fifty-eight million, four hundred sixty-six thousand, two hundred twenty-nine".

Divisors: 1 7 49 269 1883 13181 19609 137263 960841 5274821 36923747 258466229