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214720407 = 32112168893
BaseRepresentation
bin11001100110001…
…01111110010111
3112222000221000200
430303011332113
5414432023112
633150111543
75215044006
oct1463057627
9488027020
10214720407
11100227690
125baab5b3
133563c5c5
1420734c3d
1513cb5cdc
hexccc5f97

214720407 has 12 divisors (see below), whose sum is σ = 338347464. Its totient is φ = 130133520.

The previous prime is 214720391. The next prime is 214720423. The reversal of 214720407 is 704027412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214720391) and next prime (214720423).

It is not a de Polignac number, because 214720407 - 24 = 214720391 is a prime.

It is a super-2 number, since 2×2147204072 = 92209706364491298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214720447) 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 11 ways as a sum of consecutive naturals, for example, 1084348 + ... + 1084545.

It is an arithmetic number, because the mean of its divisors is an integer number (28195622).

Almost surely, 2214720407 is an apocalyptic number.

214720407 is a deficient number, since it is larger than the sum of its proper divisors (123627057).

214720407 is a wasteful number, since it uses less digits than its factorization.

214720407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168910 (or 2168907 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 214720407 is about 14653.3411548356. The cubic root of 214720407 is about 598.8128443181.

Adding to 214720407 its reverse (704027412), we get a palindrome (918747819).

The spelling of 214720407 in words is "two hundred fourteen million, seven hundred twenty thousand, four hundred seven".

Divisors: 1 3 9 11 33 99 2168893 6506679 19520037 23857823 71573469 214720407