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312202220 = 225116432207
BaseRepresentation
bin10010100110111…
…101001111101100
3210202110111221012
4102212331033230
51114410432340
650551324352
710510450361
oct2246751754
9722414835
10312202220
11150259170
12886806b8
134c8b0b55
142d66c468
151c61e565
hex129bd3ec

312202220 has 48 divisors (see below), whose sum is σ = 716663808. Its totient is φ = 113300160.

The previous prime is 312202169. The next prime is 312202223. The reversal of 312202220 is 22202213.

It is a junction number, because it is equal to n+sod(n) for n = 312202195 and 312202204.

It is not an unprimeable number, because it can be changed into a prime (312202223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140357 + ... + 142563.

It is an arithmetic number, because the mean of its divisors is an integer number (14930496).

Almost surely, 2312202220 is an apocalyptic number.

It is an amenable number.

312202220 is an abundant number, since it is smaller than the sum of its proper divisors (404461588).

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

312202220 is a wasteful number, since it uses less digits than its factorization.

312202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 312202220 is about 17669.2450319758. The cubic root of 312202220 is about 678.3887891739.

Adding to 312202220 its reverse (22202213), we get a palindrome (334404433).

The spelling of 312202220 in words is "three hundred twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 643 1286 2207 2572 3215 4414 6430 7073 8828 11035 12860 14146 22070 24277 28292 35365 44140 48554 70730 97108 121385 141460 242770 485540 1419101 2838202 5676404 7095505 14191010 15610111 28382020 31220222 62440444 78050555 156101110 312202220