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214216107 = 37311272591
BaseRepresentation
bin11001100010010…
…10110110101011
3112221002022020220
430301022312223
5414314403412
633131221123
75210543520
oct1461126653
9487068226
10214216107
11aaa12806
125b8a77a3
13354c3bc1
1420643147
1513c1668c
hexcc4adab

214216107 has 32 divisors (see below), whose sum is σ = 339738624. Its totient is φ = 117482400.

The previous prime is 214216081. The next prime is 214216117. The reversal of 214216107 is 701612412.

It is not a de Polignac number, because 214216107 - 27 = 214215979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214216117) 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, 81382 + ... + 83972.

It is an arithmetic number, because the mean of its divisors is an integer number (10616832).

Almost surely, 2214216107 is an apocalyptic number.

214216107 is a deficient number, since it is larger than the sum of its proper divisors (125522517).

214216107 is a wasteful number, since it uses less digits than its factorization.

214216107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 214216107 is about 14636.1233596878. The cubic root of 214216107 is about 598.3436790980.

Adding to 214216107 its reverse (701612412), we get a palindrome (915828519).

The spelling of 214216107 in words is "two hundred fourteen million, two hundred sixteen thousand, one hundred seven".

Divisors: 1 3 7 21 31 93 127 217 381 651 889 2591 2667 3937 7773 11811 18137 27559 54411 80321 82677 240963 329057 562247 987171 1686741 2303399 6910197 10200767 30602301 71405369 214216107