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212552256 = 2637167947
BaseRepresentation
bin11001010101101…
…00101001000000
3112210221202212210
430222310221000
5413403133011
633031422120
75160443610
oct1452645100
9483852783
10212552256
11a9a86724
125b224940
1335060787
142032ca40
15139d86a6
hexcab4a40

212552256 has 112 divisors (see below), whose sum is σ = 647248896. Its totient is φ = 60301824.

The previous prime is 212552237. The next prime is 212552261. The reversal of 212552256 is 652255212.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223975 + ... + 224921.

It is an arithmetic number, because the mean of its divisors is an integer number (5779008).

Almost surely, 2212552256 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 212552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323624448).

212552256 is an abundant number, since it is smaller than the sum of its proper divisors (434696640).

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

212552256 is a wasteful number, since it uses less digits than its factorization.

212552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1126 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 212552256 is about 14579.1719929494. The cubic root of 212552256 is about 596.7905069803.

The spelling of 212552256 in words is "two hundred twelve million, five hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 167 168 192 224 334 336 448 501 668 672 947 1002 1169 1336 1344 1894 2004 2338 2672 2841 3507 3788 4008 4676 5344 5682 6629 7014 7576 8016 9352 10688 11364 13258 14028 15152 16032 18704 19887 22728 26516 28056 30304 32064 37408 39774 45456 53032 56112 60608 74816 79548 90912 106064 112224 158149 159096 181824 212128 224448 316298 318192 424256 474447 632596 636384 948894 1107043 1265192 1272768 1897788 2214086 2530384 3321129 3795576 4428172 5060768 6642258 7591152 8856344 10121536 13284516 15182304 17712688 26569032 30364608 35425376 53138064 70850752 106276128 212552256