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214120773 = 337930399
BaseRepresentation
bin11001100001100…
…11100101000101
3112220220110111000
430300303211011
5414303331043
633125203513
75206665546
oct1460634505
9486813430
10214120773
11aa958119
125b860599
133548c6a9
142061a4cd
1513be82d3
hexcc33945

214120773 has 8 divisors (see below), whose sum is σ = 317216000. Its totient is φ = 142747164.

The previous prime is 214120727. The next prime is 214120783. The reversal of 214120773 is 377021412.

It is a happy number.

It is not a de Polignac number, because 214120773 - 29 = 214120261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 7930399 = 214120773 / (2 + 1 + 4 + 1 + 2 + 0 + 7 + 7 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214120703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3965173 + ... + 3965226.

It is an arithmetic number, because the mean of its divisors is an integer number (39652000).

Almost surely, 2214120773 is an apocalyptic number.

It is an amenable number.

214120773 is a deficient number, since it is larger than the sum of its proper divisors (103095227).

214120773 is an equidigital number, since it uses as much as digits as its factorization.

214120773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930408 (or 7930402 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 214120773 is about 14632.8661922400. The cubic root of 214120773 is about 598.2549043226.

The spelling of 214120773 in words is "two hundred fourteen million, one hundred twenty thousand, seven hundred seventy-three".

Divisors: 1 3 9 27 7930399 23791197 71373591 214120773