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212423130 = 232519711981
BaseRepresentation
bin11001010100101…
…01000111011010
3112210201012202100
430222111013122
5413340020010
633024544230
75156365263
oct1452250732
9483635670
10212423130
11a99a8707
125b182076
1335016a7a
14202d796a
15139b02c0
hexca951da

212423130 has 48 divisors (see below), whose sum is σ = 555150024. Its totient is φ = 56353920.

The previous prime is 212423119. The next prime is 212423131. The reversal of 212423130 is 31324212.

212423130 is a `hidden beast` number, since 212 + 423 + 1 + 30 = 666.

212423130 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 207100881 + 5322249 = 14391^2 + 2307^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212423131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11740 + ... + 23720.

Almost surely, 2212423130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212423130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277575012).

212423130 is an abundant number, since it is smaller than the sum of its proper divisors (342726894).

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

212423130 is a wasteful number, since it uses less digits than its factorization.

212423130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12191 (or 12188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212423130 is about 14574.7428793787. The cubic root of 212423130 is about 596.6696319499.

Adding to 212423130 its reverse (31324212), we get a palindrome (243747342).

The spelling of 212423130 in words is "two hundred twelve million, four hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 394 591 985 1182 1773 1970 2955 3546 5910 8865 11981 17730 23962 35943 59905 71886 107829 119810 179715 215658 359430 539145 1078290 2360257 4720514 7080771 11801285 14161542 21242313 23602570 35403855 42484626 70807710 106211565 212423130