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212453217 = 3229813997
BaseRepresentation
bin11001010100111…
…00011101100001
3112210202202000200
430222130131201
5413342000332
633025335413
75156552064
oct1452343541
9483682020
10212453217
11a9a19279
125b197569
1335027682
14203048db
15139b917c
hexca9c761

212453217 has 12 divisors (see below), whose sum is σ = 317459220. Its totient is φ = 136751328.

The previous prime is 212453209. The next prime is 212453237. The reversal of 212453217 is 712354212.

212453217 is a `hidden beast` number, since 2 + 124 + 532 + 1 + 7 = 666.

212453217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 122412096 + 90041121 = 11064^2 + 9489^2 .

It is not a de Polignac number, because 212453217 - 23 = 212453209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212453237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406738 + ... + 407259.

It is an arithmetic number, because the mean of its divisors is an integer number (26454935).

Almost surely, 2212453217 is an apocalyptic number.

It is an amenable number.

212453217 is a deficient number, since it is larger than the sum of its proper divisors (105006003).

212453217 is a wasteful number, since it uses less digits than its factorization.

212453217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814032 (or 814029 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 212453217 is about 14575.7750051241. The cubic root of 212453217 is about 596.6978008091.

The spelling of 212453217 in words is "two hundred twelve million, four hundred fifty-three thousand, two hundred seventeen".

Divisors: 1 3 9 29 87 261 813997 2441991 7325973 23605913 70817739 212453217