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214661461 = 72343101307
BaseRepresentation
bin11001100101101…
…11100101010101
3112221220221011111
430302313211111
5414423131321
633144535021
75214410110
oct1462674525
9487827144
10214661461
11100197373
125ba81471
133561b821
142071b577
1513ca35e1
hexccb7955

214661461 has 32 divisors (see below), whose sum is σ = 265402368. Its totient is φ = 169646400.

The previous prime is 214661437. The next prime is 214661477. The reversal of 214661461 is 164166412.

It is not a de Polignac number, because 214661461 - 29 = 214660949 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214661401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699070 + ... + 699376.

It is an arithmetic number, because the mean of its divisors is an integer number (8293824).

Almost surely, 2214661461 is an apocalyptic number.

It is an amenable number.

214661461 is a deficient number, since it is larger than the sum of its proper divisors (50740907).

214661461 is a wasteful number, since it uses less digits than its factorization.

214661461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481.

The product of its digits is 6912, while the sum is 31.

The square root of 214661461 is about 14651.3296666207. The cubic root of 214661461 is about 598.7580430490.

The spelling of 214661461 in words is "two hundred fourteen million, six hundred sixty-one thousand, four hundred sixty-one".

Divisors: 1 7 23 43 101 161 301 307 707 989 2149 2323 4343 6923 7061 13201 16261 30401 31007 49427 92407 99889 217049 303623 699223 713161 1333301 2125361 4992127 9333107 30665923 214661461