Search a number
-
+
6223720132 = 2274150910651
BaseRepresentation
bin1011100101111011…
…00110111011000100
3121001202000202000001
411302331212323010
5100221233021012
62505323531044
7310141514440
oct56275467304
917052022001
106223720132
112704145063
121258389a84
13782539846
14430807820
152665ca357
hex172f66ec4

6223720132 has 48 divisors (see below), whose sum is σ = 12777287040. Its totient is φ = 2596896000.

The previous prime is 6223720127. The next prime is 6223720133. The reversal of 6223720132 is 2310273226.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 6223720132.

It is not an unprimeable number, because it can be changed into a prime (6223720133) 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 15 ways as a sum of consecutive naturals, for example, 579007 + ... + 589657.

It is an arithmetic number, because the mean of its divisors is an integer number (266193480).

Almost surely, 26223720132 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 6223720132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388643520).

6223720132 is an abundant number, since it is smaller than the sum of its proper divisors (6553566908).

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

6223720132 is a wasteful number, since it uses less digits than its factorization.

6223720132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 6223720132 is about 78890.5579394645. The cubic root of 6223720132 is about 1839.4303659656.

Adding to 6223720132 its reverse (2310273226), we get a palindrome (8533993358).

It can be divided in two parts, 62237 and 20132, that added together give a square (82369 = 2872).

The spelling of 6223720132 in words is "six billion, two hundred twenty-three million, seven hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 164 287 509 574 1018 1148 2036 3563 7126 10651 14252 20869 21302 41738 42604 74557 83476 146083 149114 292166 298228 436691 584332 873382 1746764 3056837 5421359 6113674 10842718 12227348 21685436 37949513 75899026 151798052 222275719 444551438 889102876 1555930033 3111860066 6223720132