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258033213 = 32294124113
BaseRepresentation
bin11110110000101…
…00011000111101
3122222112110000200
433120110120331
51012024030323
641334314113
76252150264
oct1730243075
9588473020
10258033213
11122720199
12724b8939
13415c5c99
14263ab5db
15179be443
hexf61463d

258033213 has 24 divisors (see below), whose sum is σ = 394987320. Its totient is φ = 162032640.

The previous prime is 258033211. The next prime is 258033229. The reversal of 258033213 is 312330852.

It can be written as a sum of positive squares in 4 ways, for example, as 11009124 + 247024089 = 3318^2 + 15717^2 .

It is not a de Polignac number, because 258033213 - 21 = 258033211 is a prime.

It is a super-2 number, since 2×2580332132 = 133162278022206738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258033211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356 + ... + 22757.

It is an arithmetic number, because the mean of its divisors is an integer number (16457805).

Almost surely, 2258033213 is an apocalyptic number.

It is an amenable number.

258033213 is a deficient number, since it is larger than the sum of its proper divisors (136954107).

258033213 is a wasteful number, since it uses less digits than its factorization.

258033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24189 (or 24186 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 258033213 is about 16063.4122464687. The cubic root of 258033213 is about 636.6369923336.

The spelling of 258033213 in words is "two hundred fifty-eight million, thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 10701 24113 72339 217017 699277 988633 2097831 2965899 6293493 8897697 28670357 86011071 258033213