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212230020 = 22355366739
BaseRepresentation
bin11001010011001…
…01111110000100
3112210100101212010
430221211332010
5413312330040
633020454220
75154632262
oct1451457604
9483311763
10212230020
11a9886612
125b0aa370
1334c79bc2
1420287432
1513972e80
hexca65f84

212230020 has 48 divisors (see below), whose sum is σ = 605465280. Its totient is φ = 55526016.

The previous prime is 212230013. The next prime is 212230037. The reversal of 212230020 is 20032212.

212230020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212229978 and 212230005.

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, 30190 + ... + 36549.

It is an arithmetic number, because the mean of its divisors is an integer number (12613860).

Almost surely, 2212230020 is an apocalyptic number.

212230020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212230020 is an abundant number, since it is smaller than the sum of its proper divisors (393235260).

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

212230020 is a wasteful number, since it uses less digits than its factorization.

212230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66804 (or 66802 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 212230020 is about 14568.1165563706. The cubic root of 212230020 is about 596.4887699663.

Adding to 212230020 its reverse (20032212), we get a palindrome (232262232).

The spelling of 212230020 in words is "two hundred twelve million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 66739 133478 200217 266956 333695 400434 667390 800868 1001085 1334780 2002170 3537167 4004340 7074334 10611501 14148668 17685835 21223002 35371670 42446004 53057505 70743340 106115010 212230020