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214450561 = 1353409761
BaseRepresentation
bin11001100100001…
…00000110000001
3112221112012212101
430302010012001
5414344404221
633140230401
75212541203
oct1462040601
9487465771
10214450561
11100062976
125b99b401
1335576830
14206a4773
1513c60d91
hexcc84181

214450561 has 16 divisors (see below), whose sum is σ = 236189520. Its totient is φ = 193489920.

The previous prime is 214450553. The next prime is 214450571. The reversal of 214450561 is 165054412.

It can be written as a sum of positive squares in 8 ways, for example, as 8814961 + 205635600 = 2969^2 + 14340^2 .

It is not a de Polignac number, because 214450561 - 23 = 214450553 is a prime.

It is a super-2 number, since 2×2144505612 = 91978086226429442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214450501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281421 + ... + 282181.

It is an arithmetic number, because the mean of its divisors is an integer number (14761845).

Almost surely, 2214450561 is an apocalyptic number.

It is an amenable number.

214450561 is a deficient number, since it is larger than the sum of its proper divisors (21738959).

214450561 is a wasteful number, since it uses less digits than its factorization.

214450561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 214450561 is about 14644.1305989806. The cubic root of 214450561 is about 598.5618900796.

It can be divided in two parts, 214 and 450561, that added together give a triangular number (450775 = T949).

The spelling of 214450561 in words is "two hundred fourteen million, four hundred fifty thousand, five hundred sixty-one".

Divisors: 1 13 53 409 689 761 5317 9893 21677 40333 281801 311249 524329 4046237 16496197 214450561