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230505457 = 7213734957
BaseRepresentation
bin11011011110100…
…11101111110001
3121001201220001011
431233103233301
5433002133312
634512310521
75466156400
oct1557235761
9531656034
10230505457
11109129186
1265242441
13389a8380
1422883637
1515382da7
hexdbd3bf1

230505457 has 24 divisors (see below), whose sum is σ = 292779816. Its totient is φ = 179843328.

The previous prime is 230505409. The next prime is 230505463. The reversal of 230505457 is 754505032.

It can be written as a sum of positive squares in 4 ways, for example, as 38987536 + 191517921 = 6244^2 + 13839^2 .

It is a de Polignac number, because none of the positive numbers 2k-230505457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230505467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44023 + ... + 48979.

It is an arithmetic number, because the mean of its divisors is an integer number (12199159).

Almost surely, 2230505457 is an apocalyptic number.

It is an amenable number.

230505457 is a deficient number, since it is larger than the sum of its proper divisors (62274359).

230505457 is a wasteful number, since it uses less digits than its factorization.

230505457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 31.

The square root of 230505457 is about 15182.4061663493. The cubic root of 230505457 is about 613.1410648585.

The spelling of 230505457 in words is "two hundred thirty million, five hundred five thousand, four hundred fifty-seven".

Divisors: 1 7 13 49 73 91 511 637 949 3577 4957 6643 34699 46501 64441 242893 361861 451087 2533027 3157609 4704193 17731189 32929351 230505457