Search a number
-
+
20223413154 = 23371911324919
BaseRepresentation
bin10010110101011010…
…001100101110100010
31221012101220211111000
4102311122030232202
5312404143210104
613142425532430
71314104114130
oct226532145642
957171824430
1020223413154
11863865369a
123b04944116
131ba3a6ba79
14d9bc40750
157d569c639
hex4b568cba2

20223413154 has 128 divisors (see below), whose sum is σ = 54544896000. Its totient is φ = 5425346304.

The previous prime is 20223413153. The next prime is 20223413191. The reversal of 20223413154 is 45131432202.

20223413154 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 341 + 315 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20223413153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 799107 + ... + 824025.

It is an arithmetic number, because the mean of its divisors is an integer number (426132000).

Almost surely, 220223413154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20223413154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27272448000).

20223413154 is an abundant number, since it is smaller than the sum of its proper divisors (34321482846).

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

20223413154 is a wasteful number, since it uses less digits than its factorization.

20223413154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25069 (or 25063 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20223413154 its reverse (45131432202), we get a palindrome (65354845356).

The spelling of 20223413154 in words is "twenty billion, two hundred twenty-three million, four hundred thirteen thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 113 114 126 133 171 189 226 266 339 342 378 399 513 678 791 798 1017 1026 1197 1582 2034 2147 2373 2394 3051 3591 4294 4746 6102 6441 7119 7182 12882 14238 15029 19323 21357 24919 30058 38646 42714 45087 49838 57969 74757 90174 115938 135261 149514 174433 224271 270522 348866 405783 448542 473461 523299 672813 811566 946922 1046598 1345626 1420383 1569897 2815847 2840766 3139794 3314227 4261149 4709691 5631694 6628454 8447541 8522298 9419382 9942681 12783447 16895082 19710929 19885362 25342623 25566894 29828043 39421858 50685246 53501093 59132787 59656086 76027869 89484129 107002186 118265574 152055738 160503279 177398361 178968258 321006558 354796722 374507651 481509837 532195083 749015302 963019674 1064390166 1123522953 1444529511 2247045906 2889059022 3370568859 6741137718 10111706577 20223413154