Search a number
-
+
214450461 = 32171638599
BaseRepresentation
bin11001100100001…
…00000100011101
3112221112012201200
430302010010131
5414344403321
633140230113
75212541001
oct1462040435
9487465650
10214450461
11100062895
125b99b339
1335576784
14206a4701
1513c60d26
hexcc8411d

214450461 has 24 divisors (see below), whose sum is σ = 330033600. Its totient is φ = 133716096.

The previous prime is 214450433. The next prime is 214450469. The reversal of 214450461 is 164054412.

It is not a de Polignac number, because 214450461 - 210 = 214449437 is a prime.

It is a super-2 number, since 2×2144504612 = 91978000446225042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214450469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20640 + ... + 29238.

It is an arithmetic number, because the mean of its divisors is an integer number (13751400).

Almost surely, 2214450461 is an apocalyptic number.

It is an amenable number.

214450461 is a deficient number, since it is larger than the sum of its proper divisors (115583139).

214450461 is a wasteful number, since it uses less digits than its factorization.

214450461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 214450461 is about 14644.1271846430. The cubic root of 214450461 is about 598.5617970415.

The spelling of 214450461 in words is "two hundred fourteen million, four hundred fifty thousand, four hundred sixty-one".

Divisors: 1 3 9 17 51 153 163 489 1467 2771 8313 8599 24939 25797 77391 146183 438549 1315647 1401637 4204911 12614733 23827829 71483487 214450461