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212064 = 253472
BaseRepresentation
bin110011110001100000
3101202220020
4303301200
523241224
64313440
71542156
oct636140
9352806
10212064
11135366
12a2880
13756a8
14573d6
1542c79
hex33c60

212064 has 36 divisors (see below), whose sum is σ = 568764. Its totient is φ = 69184.

The previous prime is 212057. The next prime is 212081. The reversal of 212064 is 460212.

It is a super-2 number, since 2×2120642 = 89942280192, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212064.

It is an unprimeable number.

212064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4489 + ... + 4535.

It is an arithmetic number, because the mean of its divisors is an integer number (15799).

2212064 is an apocalyptic number.

212064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284382).

212064 is an abundant number, since it is smaller than the sum of its proper divisors (356700).

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

212064 is an equidigital number, since it uses as much as digits as its factorization.

212064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212064 is about 460.5040716432. The cubic root of 212064 is about 59.6333192072.

Multiplying 212064 by its product of nonzero digits (96), we get a square (20358144 = 45122).

212064 divided by its product of nonzero digits (96) gives a square (2209 = 472).

Adding to 212064 its reverse (460212), we get a palindrome (672276).

The spelling of 212064 in words is "two hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2209 2256 4418 4512 6627 8836 13254 17672 26508 35344 53016 70688 106032 212064