Search a number
-
+
220012443144 = 233213218081233
BaseRepresentation
bin1100110011100111000…
…0110111011000001000
3210000220001020010112100
43030321300313120020
512101041141140034
6245023342113400
721616053624204
oct3147160673010
9700801203470
10220012443144
1185341319a0a
123678187b860
1317993462700
14a911cc5b04
155aca34c099
hex3339c37608

220012443144 has 72 divisors (see below), whose sum is σ = 645228835290. Its totient is φ = 67696132608.

The previous prime is 220012443127. The next prime is 220012443163. The reversal of 220012443144 is 441344210022.

220012443144 is a `hidden beast` number, since 2 + 200 + 1 + 2 + 443 + 14 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 158115979044 + 61896464100 = 397638^2 + 248790^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9028449 + ... + 9052784.

Almost surely, 2220012443144 is an apocalyptic number.

220012443144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220012443144 is an abundant number, since it is smaller than the sum of its proper divisors (425216392146).

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

220012443144 is a wasteful number, since it uses less digits than its factorization.

220012443144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18081271 (or 18081251 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 220012443144 its reverse (441344210022), we get a palindrome (661356653166).

The spelling of 220012443144 in words is "two hundred twenty billion, twelve million, four hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 18081233 36162466 54243699 72324932 108487398 144649864 162731097 216974796 235056029 325462194 433949592 470112058 650924388 705168087 940224116 1301848776 1410336174 1880448232 2115504261 2820672348 3055728377 4231008522 5641344696 6111456754 8462017044 9167185131 12222913508 16924034088 18334370262 24445827016 27501555393 36668740524 55003110786 73337481048 110006221572 220012443144