Search a number
-
+
212420244330 = 232571728170583
BaseRepresentation
bin1100010111010100111…
…0111011001101101010
3202022021221011110200200
43011311032323031222
511440014040304310
6241330131013030
721226654166610
oct3056516731552
9668257143620
10212420244330
11820a5765638
123520313a176
1317053562988
14a3d18536b0
1557d3a569c0
hex31753bb36a

212420244330 has 192 divisors, whose sum is σ = 670708366848. Its totient is φ = 45533859840.

The previous prime is 212420244277. The next prime is 212420244341. The reversal of 212420244330 is 33442024212.

212420244330 is a `hidden beast` number, since 2 + 1 + 24 + 202 + 4 + 433 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212420244294 and 212420244303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2974219 + ... + 3044801.

It is an arithmetic number, because the mean of its divisors is an integer number (3493272744).

Almost surely, 2212420244330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212420244330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335354183424).

212420244330 is an abundant number, since it is smaller than the sum of its proper divisors (458288122518).

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

212420244330 is a wasteful number, since it uses less digits than its factorization.

212420244330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70901 (or 70898 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 212420244330 its reverse (33442024212), we get a palindrome (245862268542).

The spelling of 212420244330 in words is "two hundred twelve billion, four hundred twenty million, two hundred forty-four thousand, three hundred thirty".