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214112505 = 35311373361
BaseRepresentation
bin11001100001100…
…01100011111001
3112220220001010210
430300301203321
5414303100010
633125101333
75206632465
oct1460614371
9486801123
10214112505
11aa951992
125b857849
13354889b9
14206174a5
1513be5b20
hexcc318f9

214112505 has 32 divisors (see below), whose sum is σ = 356318208. Its totient is φ = 109670400.

The previous prime is 214112491. The next prime is 214112519. The reversal of 214112505 is 505211412.

214112505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214112491) and next prime (214112519).

It is not a de Polignac number, because 214112505 - 212 = 214108409 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62025 + ... + 65385.

It is an arithmetic number, because the mean of its divisors is an integer number (11134944).

Almost surely, 2214112505 is an apocalyptic number.

It is an amenable number.

214112505 is a deficient number, since it is larger than the sum of its proper divisors (142205703).

214112505 is a wasteful number, since it uses less digits than its factorization.

214112505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 214112505 is about 14632.5836747992. The cubic root of 214112505 is about 598.2472039406.

Adding to 214112505 its reverse (505211412), we get a palindrome (719323917).

The spelling of 214112505 in words is "two hundred fourteen million, one hundred twelve thousand, five hundred five".

Divisors: 1 3 5 15 31 93 137 155 411 465 685 2055 3361 4247 10083 12741 16805 21235 50415 63705 104191 312573 460457 520955 1381371 1562865 2302285 6906855 14274167 42822501 71370835 214112505