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212023312 = 24611091993
BaseRepresentation
bin11001010001100…
…11100000010000
3112202221220022021
430220303200100
5413234221222
633012221224
75153111524
oct1450634020
9482856267
10212023312
11a9755286
125b00a814
1334c06aa7
1420231d84
1513931ac7
hexca33810

212023312 has 40 divisors (see below), whose sum is σ = 421571480. Its totient is φ = 103265280.

The previous prime is 212023277. The next prime is 212023313. The reversal of 212023312 is 213320212.

It can be written as a sum of positive squares in 4 ways, for example, as 20034576 + 191988736 = 4476^2 + 13856^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (212023313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105388 + ... + 107380.

It is an arithmetic number, because the mean of its divisors is an integer number (10539287).

Almost surely, 2212023312 is an apocalyptic number.

It is an amenable number.

212023312 is a deficient number, since it is larger than the sum of its proper divisors (209548168).

212023312 is a wasteful number, since it uses less digits than its factorization.

212023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 212023312 is about 14561.0202939217. The cubic root of 212023312 is about 596.2950508235.

Adding to 212023312 its reverse (213320212), we get a palindrome (425343524).

The spelling of 212023312 in words is "two hundred twelve million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 61 109 122 218 244 436 488 872 976 1744 1993 3986 6649 7972 13298 15944 26596 31888 53192 106384 121573 217237 243146 434474 486292 868948 972584 1737896 1945168 3475792 13251457 26502914 53005828 106011656 212023312