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214906601 = 72133110883
BaseRepresentation
bin11001100111100…
…11011011101001
3112222101101102202
430303303123221
5420004002401
633154105545
75216450600
oct1463633351
9488341382
10214906601
11100344568
125bb7b2b5
13356a6290
1420782a37
1513d0106b
hexccf36e9

214906601 has 24 divisors (see below), whose sum is σ = 277933824. Its totient is φ = 164535840.

The previous prime is 214906583. The next prime is 214906603. The reversal of 214906601 is 106609412.

It is a de Polignac number, because none of the positive numbers 2k-214906601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214906603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14306 + ... + 25188.

It is an arithmetic number, because the mean of its divisors is an integer number (11580576).

Almost surely, 2214906601 is an apocalyptic number.

It is an amenable number.

214906601 is a deficient number, since it is larger than the sum of its proper divisors (63027223).

214906601 is a wasteful number, since it uses less digits than its factorization.

214906601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941 (or 10934 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 214906601 is about 14659.6930731854. The cubic root of 214906601 is about 598.9858804200.

The spelling of 214906601 in words is "two hundred fourteen million, nine hundred six thousand, six hundred one".

Divisors: 1 7 13 31 49 91 217 403 637 1519 2821 10883 19747 76181 141479 337373 533267 990353 2361611 4385849 6932471 16531277 30700943 214906601