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258221381 = 11217196607
BaseRepresentation
bin11110110010000…
…10010101000101
3122222220000010212
433121002111011
51012101041011
641342325205
76253563005
oct1731022505
9588800125
10258221381
11122839600
1272589805
1341660822
142641a005
1517a0a08b
hexf642545

258221381 has 24 divisors (see below), whose sum is σ = 316391040. Its totient is φ = 209278080.

The previous prime is 258221377. The next prime is 258221393. The reversal of 258221381 is 183122852.

It is a happy number.

It is not a de Polignac number, because 258221381 - 22 = 258221377 is a prime.

It is a super-2 number, since 2×2582213812 = 133356563211094322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35780 + ... + 42386.

It is an arithmetic number, because the mean of its divisors is an integer number (13182960).

Almost surely, 2258221381 is an apocalyptic number.

It is an amenable number.

258221381 is a deficient number, since it is larger than the sum of its proper divisors (58169659).

258221381 is a wasteful number, since it uses less digits than its factorization.

258221381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665 (or 6654 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 258221381 is about 16069.2682160701. The cubic root of 258221381 is about 636.7917083361.

The spelling of 258221381 in words is "two hundred fifty-eight million, two hundred twenty-one thousand, three hundred eighty-one".

Divisors: 1 11 17 19 121 187 209 323 2057 2299 3553 6607 39083 72677 112319 125533 799447 1235509 1380863 2134061 13590599 15189493 23474671 258221381