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214580093 = 7135344491
BaseRepresentation
bin11001100101000…
…11101101111101
3112221202210112212
430302203231331
5414413030333
633143110205
75213620640
oct1462435575
9487683485
10214580093
11100141222
125ba42365
13355c0790
14206d9a57
1513c89448
hexcca3b7d

214580093 has 16 divisors (see below), whose sum is σ = 269087616. Its totient is φ = 166570560.

The previous prime is 214580081. The next prime is 214580117. The reversal of 214580093 is 390085412.

It is not a de Polignac number, because 214580093 - 212 = 214575997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214580063) 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 15 ways as a sum of consecutive naturals, for example, 17423 + ... + 27068.

It is an arithmetic number, because the mean of its divisors is an integer number (16817976).

Almost surely, 2214580093 is an apocalyptic number.

It is an amenable number.

214580093 is a deficient number, since it is larger than the sum of its proper divisors (54507523).

214580093 is a wasteful number, since it uses less digits than its factorization.

214580093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44564.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 214580093 is about 14648.5525906145. The cubic root of 214580093 is about 598.6823798764.

The spelling of 214580093 in words is "two hundred fourteen million, five hundred eighty thousand, ninety-three".

Divisors: 1 7 13 53 91 371 689 4823 44491 311437 578383 2358023 4048681 16506161 30654299 214580093