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212313220 = 22571979817
BaseRepresentation
bin11001010011110…
…10010010000100
3112210111121222121
430221322102010
5413323010340
633022335324
75155426660
oct1451722204
9483447877
10212313220
11a9933079
125b12a544
1334ca8a32
14202a98a0
151398c94a
hexca7a484

212313220 has 48 divisors (see below), whose sum is σ = 536376960. Its totient is φ = 68961024.

The previous prime is 212313197. The next prime is 212313251. The reversal of 212313220 is 22313212.

It is a junction number, because it is equal to n+sod(n) for n = 212313194 and 212313203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37249 + ... + 42568.

It is an arithmetic number, because the mean of its divisors is an integer number (11174520).

Almost surely, 2212313220 is an apocalyptic number.

212313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212313220 is an abundant number, since it is smaller than the sum of its proper divisors (324063740).

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

212313220 is a wasteful number, since it uses less digits than its factorization.

212313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79852 (or 79850 counting only the distinct ones).

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

The square root of 212313220 is about 14570.9718275755. The cubic root of 212313220 is about 596.5667064460.

Adding to 212313220 its reverse (22313212), we get a palindrome (234626432).

The spelling of 212313220 in words is "two hundred twelve million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 79817 159634 319268 399085 558719 798170 1117438 1516523 1596340 2234876 2793595 3033046 5587190 6066092 7582615 10615661 11174380 15165230 21231322 30330460 42462644 53078305 106156610 212313220