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214221441 = 37471271709
BaseRepresentation
bin11001100010011…
…00001010000001
3112221002120120110
430301030022001
5414320041231
633131301533
75210565210
oct1461141201
9487076513
10214221441
11aaa16815
125b8aa8a9
13354c6465
1420645077
1513c18046
hexcc4c281

214221441 has 32 divisors (see below), whose sum is σ = 336199680. Its totient is φ = 118794816.

The previous prime is 214221419. The next prime is 214221443. The reversal of 214221441 is 144122412.

It is not a de Polignac number, because 214221441 - 213 = 214213249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (214221443) 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, 124495 + ... + 126203.

It is an arithmetic number, because the mean of its divisors is an integer number (10506240).

Almost surely, 2214221441 is an apocalyptic number.

214221441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214221441 is a deficient number, since it is larger than the sum of its proper divisors (121978239).

214221441 is a wasteful number, since it uses less digits than its factorization.

214221441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893.

The product of its digits is 512, while the sum is 21.

The square root of 214221441 is about 14636.3055789362. The cubic root of 214221441 is about 598.3486453270.

Adding to 214221441 its reverse (144122412), we get a palindrome (358343853).

It can be divided in two parts, 214 and 221441, that multiplied together give a palindrome (47388374).

The spelling of 214221441 in words is "two hundred fourteen million, two hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 7 21 47 127 141 329 381 889 987 1709 2667 5127 5969 11963 17907 35889 41783 80323 125349 217043 240969 562261 651129 1519301 1686783 4557903 10201021 30603063 71407147 214221441