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214505317 = 13374173149
BaseRepresentation
bin11001100100100…
…01011101100101
3112221121222222101
430302101131211
5414403132232
633141332101
75213156635
oct1462213545
9487558871
10214505317
111000a0024
125ba07031
1335595730
14206ba6c5
1513c721e7
hexcc91765

214505317 has 32 divisors (see below), whose sum is σ = 248018400. Its totient is φ = 184135680.

The previous prime is 214505311. The next prime is 214505323. The reversal of 214505317 is 713505412.

It is a happy number.

214505317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 146462+1.

It is an interprime number because it is at equal distance from previous prime (214505311) and next prime (214505323).

It can be written as a sum of positive squares in 16 ways, for example, as 116079076 + 98426241 = 10774^2 + 9921^2 .

It is not a de Polignac number, because 214505317 - 211 = 214503269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214505311) 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, 1439559 + ... + 1439707.

It is an arithmetic number, because the mean of its divisors is an integer number (7750575).

Almost surely, 2214505317 is an apocalyptic number.

It is an amenable number.

214505317 is a deficient number, since it is larger than the sum of its proper divisors (33513083).

214505317 is a wasteful number, since it uses less digits than its factorization.

214505317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 214505317 is about 14646.0000341390. Note that the first 4 decimals coincide. The cubic root of 214505317 is about 598.6128296615.

The spelling of 214505317 in words is "two hundred fourteen million, five hundred five thousand, three hundred seventeen".

Divisors: 1 13 37 41 73 149 481 533 949 1517 1937 2701 2993 5513 6109 10877 19721 35113 38909 71669 79417 110741 141401 226033 402449 445957 1439633 2938429 5231837 5797441 16500409 214505317