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212838272 = 276127259
BaseRepresentation
bin11001010111110…
…10011110000000
3112211111022012222
430223322132000
5413441311042
633041510212
75163044513
oct1453723600
9484438188
10212838272
11aa1615a9
125b342368
1335130a0a
14203a4d7a
1513a432d2
hexcafa780

212838272 has 32 divisors (see below), whose sum is σ = 430980600. Its totient is φ = 104670720.

The previous prime is 212838271. The next prime is 212838293. The reversal of 212838272 is 272838212.

It is a happy number.

212838272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212838271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5822 + ... + 21437.

Almost surely, 2212838272 is an apocalyptic number.

It is an amenable number.

212838272 is an abundant number, since it is smaller than the sum of its proper divisors (218142328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212838272 is an equidigital number, since it uses as much as digits as its factorization.

212838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27334 (or 27322 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 212838272 is about 14588.9777571974. The cubic root of 212838272 is about 597.0580727570.

The spelling of 212838272 in words is "two hundred twelve million, eight hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 27259 54518 109036 218072 436144 872288 1662799 1744576 3325598 3489152 6651196 13302392 26604784 53209568 106419136 212838272