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212315012 = 227134671249
BaseRepresentation
bin11001010011110…
…10101110000100
3112210111201102222
430221322232010
5413323040022
633022351512
75155435130
oct1451725604
9483451388
10212315012
11a9934458
125b12b598
1334ca97b0
14202aa3c0
151398d242
hexca7ab84

212315012 has 48 divisors (see below), whose sum is σ = 458640000. Its totient is φ = 83745792.

The previous prime is 212315011. The next prime is 212315039. The reversal of 212315012 is 210513212.

It is a happy number.

212315012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212315011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169364 + ... + 170612.

It is an arithmetic number, because the mean of its divisors is an integer number (9555000).

Almost surely, 2212315012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212315012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320000).

212315012 is an abundant number, since it is smaller than the sum of its proper divisors (246324988).

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

212315012 is a wasteful number, since it uses less digits than its factorization.

212315012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 212315012 is about 14571.0333195693. The cubic root of 212315012 is about 596.5683848538.

Adding to 212315012 its reverse (210513212), we get a palindrome (422828224).

The spelling of 212315012 in words is "two hundred twelve million, three hundred fifteen thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 467 934 1249 1868 2498 3269 4996 6071 6538 8743 12142 13076 16237 17486 24284 32474 34972 42497 64948 84994 113659 169988 227318 454636 583283 1166566 2333132 4082981 7582679 8165962 15165358 16331924 30330716 53078753 106157506 212315012