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212220312 = 23360114713
BaseRepresentation
bin11001010011000…
…11100110011000
3112210022220112120
430221203212120
5413312022222
633020341240
75154562053
oct1451434630
9483286476
10212220312
11a987a297
125b0a4820
1334c75665
1420283a9a
151397015c
hexca63998

212220312 has 32 divisors (see below), whose sum is σ = 531469680. Its totient is φ = 70617600.

The previous prime is 212220259. The next prime is 212220313. The reversal of 212220312 is 213022212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212220291 and 212220300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7068 + ... + 21780.

Almost surely, 2212220312 is an apocalyptic number.

It is an amenable number.

212220312 is an abundant number, since it is smaller than the sum of its proper divisors (319249368).

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

212220312 is a wasteful number, since it uses less digits than its factorization.

212220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15323 (or 15319 counting only the distinct ones).

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

The square root of 212220312 is about 14567.7833591799. The cubic root of 212220312 is about 596.4796748011.

Adding to 212220312 its reverse (213022212), we get a palindrome (425242524).

The spelling of 212220312 in words is "two hundred twelve million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 601 1202 1803 2404 3606 4808 7212 14424 14713 29426 44139 58852 88278 117704 176556 353112 8842513 17685026 26527539 35370052 53055078 70740104 106110156 212220312