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212711212 = 22731269911
BaseRepresentation
bin11001010110110…
…11011100101100
3112211020211221001
430223123130230
5413423224322
633035050044
75162005210
oct1453333454
9484224831
10212711212
11aa08509a
125b2a0924
13350b7c2c
1420370940
1513a1a827
hexcadb72c

212711212 has 48 divisors (see below), whose sum is σ = 441262080. Its totient is φ = 87796800.

The previous prime is 212711197. The next prime is 212711227. The reversal of 212711212 is 212117212.

It is an interprime number because it is at equal distance from previous prime (212711197) and next prime (212711227).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212711212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233037 + ... + 233947.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 2212711212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212711212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

212711212 is an abundant number, since it is smaller than the sum of its proper divisors (228550868).

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

212711212 is a wasteful number, since it uses less digits than its factorization.

212711212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1220 counting only the distinct ones).

The product of its digits is 112, while the sum is 19.

The square root of 212711212 is about 14584.6224496899. The cubic root of 212711212 is about 596.9392387098.

Adding to 212711212 its reverse (212117212), we get a palindrome (424828424).

The spelling of 212711212 in words is "two hundred twelve million, seven hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 31 62 124 217 269 434 538 868 911 1076 1822 1883 3644 3766 6377 7532 8339 12754 16678 25508 28241 33356 56482 58373 112964 116746 197687 233492 245059 395374 490118 790748 980236 1715413 3430826 6861652 7596829 15193658 30387316 53177803 106355606 212711212