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212648271 = 31123299661
BaseRepresentation
bin11001010110011…
…00000101001111
3112211010122120220
430223030011033
5413414221041
633033442423
75161323543
oct1453140517
9484118526
10212648271
11aa041880
125b270413
13350953a4
1420355a23
1513a06d66
hexcacc14f

212648271 has 32 divisors (see below), whose sum is σ = 333918720. Its totient is φ = 119011200.

The previous prime is 212648237. The next prime is 212648273. The reversal of 212648271 is 172846212.

212648271 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 212648271 - 210 = 212647247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212648273) 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, 17181 + ... + 26841.

It is an arithmetic number, because the mean of its divisors is an integer number (10434960).

Almost surely, 2212648271 is an apocalyptic number.

212648271 is a deficient number, since it is larger than the sum of its proper divisors (121270449).

212648271 is a wasteful number, since it uses less digits than its factorization.

212648271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9727.

The product of its digits is 10752, while the sum is 33.

The square root of 212648271 is about 14582.4645036427. The cubic root of 212648271 is about 596.8803550263.

The spelling of 212648271 in words is "two hundred twelve million, six hundred forty-eight thousand, two hundred seventy-one".

Divisors: 1 3 11 23 29 33 69 87 253 319 667 759 957 2001 7337 9661 22011 28983 106271 222203 280169 318813 666609 840507 2444233 3081859 6443887 7332699 9245577 19331661 70882757 212648271