Search a number
-
+
212224224204144 = 24322296435717619
BaseRepresentation
bin110000010000010001001101…
…011111110001010101110000
31000211102102211002002220211100
4300100101031133301111300
5210304040202344013034
62031210243534244400
762462460054531105
oct6020211537612560
91024372732086740
10212224224204144
1161691873986479
121b976587356700
139155873877129
143a599c8a02aac
15198068be61099
hexc1044d7f1570

212224224204144 has 60 divisors (see below), whose sum is σ = 596526666197800. Its totient is φ = 70432493611392.

The previous prime is 212224224204023. The next prime is 212224224204149. The reversal of 212224224204144 is 441402422422212.

212224224204144 is a `hidden beast` number, since 2 + 1 + 2 + 22 + 422 + 4 + 204 + 1 + 4 + 4 = 666.

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 = 212224224204099 and 212224224204108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212224224204149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3217825834 + ... + 3217891785.

Almost surely, 2212224224204144 is an apocalyptic number.

212224224204144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212224224204144 is an abundant number, since it is smaller than the sum of its proper divisors (384302441993656).

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

212224224204144 is a wasteful number, since it uses less digits than its factorization.

212224224204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435717862 (or 6435717853 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 212224224204144 its reverse (441402422422212), we get a palindrome (653626646626356).

The spelling of 212224224204144 in words is "two hundred twelve trillion, two hundred twenty-four billion, two hundred twenty-four million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 32976 6435717619 12871435238 19307152857 25742870476 38614305714 51485740952 57921458571 77228611428 102971481904 115842917142 154457222856 231685834284 308914445712 463371668568 926743337136 1473779334751 2947558669502 4421338004253 5895117339004 8842676008506 11790234678008 13264014012759 17685352017012 23580469356016 26528028025518 35370704034024 53056056051036 70741408068048 106112112102072 212224224204144