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212711056 = 24294491021
BaseRepresentation
bin11001010110110…
…11011010010000
3112211020211201021
430223123122100
5413423223211
633035045224
75162004565
oct1453333220
9484224637
10212711056
11aa084a68
125b2a0814
13350b7b3c
142037086c
1513a1a771
hexcadb690

212711056 has 40 divisors (see below), whose sum is σ = 427707000. Its totient is φ = 102359040.

The previous prime is 212711047. The next prime is 212711063. The reversal of 212711056 is 650117212.

212711056 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 4 ways, for example, as 49280400 + 163430656 = 7020^2 + 12784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212711056.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207826 + ... + 208846.

It is an arithmetic number, because the mean of its divisors is an integer number (10692675).

Almost surely, 2212711056 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 212711056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213853500).

212711056 is an abundant number, since it is smaller than the sum of its proper divisors (214995944).

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

212711056 is a wasteful number, since it uses less digits than its factorization.

212711056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 212711056 is about 14584.6171015903. The cubic root of 212711056 is about 596.9390927803.

Adding to 212711056 its reverse (650117212), we get a palindrome (862828268).

The spelling of 212711056 in words is "two hundred twelve million, seven hundred eleven thousand, fifty-six".

Divisors: 1 2 4 8 16 29 58 116 232 449 464 898 1021 1796 2042 3592 4084 7184 8168 13021 16336 26042 29609 52084 59218 104168 118436 208336 236872 458429 473744 916858 1833716 3667432 7334864 13294441 26588882 53177764 106355528 212711056