Search a number
-
+
212354440344 = 2333983122409
BaseRepresentation
bin1100010111000101001…
…1111001110010011000
3202022010100100021121000
43011301103321302120
511434400214042334
6241315420345000
721225224650344
oct3056123716230
9668110307530
10212354440344
1182071600082
12351a50a5160
1317042a32cc7
14a3c6c04624
1557ccda9299
hex31714f9c98

212354440344 has 32 divisors (see below), whose sum is σ = 589873446000. Its totient is φ = 70784813376.

The previous prime is 212354440297. The next prime is 212354440349. The reversal of 212354440344 is 443044453212.

212354440344 is a `hidden beast` number, since 2 + 1 + 235 + 44 + 40 + 344 = 666.

212354440344 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 212354440299 and 212354440308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212354440349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491560989 + ... + 491561420.

Almost surely, 2212354440344 is an apocalyptic number.

212354440344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212354440344 is an abundant number, since it is smaller than the sum of its proper divisors (377519005656).

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

212354440344 is a wasteful number, since it uses less digits than its factorization.

212354440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983122424 (or 983122414 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 212354440344 its reverse (443044453212), we get a palindrome (655398893556).

The spelling of 212354440344 in words is "two hundred twelve billion, three hundred fifty-four million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 983122409 1966244818 2949367227 3932489636 5898734454 7864979272 8848101681 11797468908 17696203362 23594937816 26544305043 35392406724 53088610086 70784813448 106177220172 212354440344