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212813217 = 337881971
BaseRepresentation
bin11001010111101…
…00010110100001
3112211110000212000
430223310112201
5413440010332
633041154213
75162611461
oct1453642641
9484400760
10212813217
11aa1447a1
125b32b969
13351224a6
1420399ba1
1513a3ab7c
hexcaf45a1

212813217 has 8 divisors (see below), whose sum is σ = 315278880. Its totient is φ = 141875460.

The previous prime is 212813207. The next prime is 212813269. The reversal of 212813217 is 712318212.

212813217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212813217 - 211 = 212811169 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: 7881971 = 212813217 / (2 + 1 + 2 + 8 + 1 + 3 + 2 + 1 + 7).

It is not an unprimeable number, because it can be changed into a prime (212813207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3940959 + ... + 3941012.

It is an arithmetic number, because the mean of its divisors is an integer number (39409860).

Almost surely, 2212813217 is an apocalyptic number.

212813217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

212813217 is a deficient number, since it is larger than the sum of its proper divisors (102465663).

212813217 is an equidigital number, since it uses as much as digits as its factorization.

212813217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7881980 (or 7881974 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 212813217 is about 14588.1190357085. The cubic root of 212813217 is about 597.0346435794.

The spelling of 212813217 in words is "two hundred twelve million, eight hundred thirteen thousand, two hundred seventeen".

Divisors: 1 3 9 27 7881971 23645913 70937739 212813217