Search a number
-
+
20222450226 = 23311122927701
BaseRepresentation
bin10010110101010110…
…100001101000110010
31221012100002220121000
4102311112201220302
5312403421401401
613142353142430
71314062663556
oct226526415062
957170086530
1020222450226
118638056190
123b0455aa16
131ba37c26a4
14d9ba6d866
157d555c186
hex4b55a1a32

20222450226 has 64 divisors (see below), whose sum is σ = 49065782400. Its totient is φ = 6122808000.

The previous prime is 20222450221. The next prime is 20222450239. The reversal of 20222450226 is 62205422202.

20222450226 is a `hidden beast` number, since 202 + 2 + 2 + 450 + 2 + 2 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20222450226.

It is not an unprimeable number, because it can be changed into a prime (20222450221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716176 + ... + 743876.

It is an arithmetic number, because the mean of its divisors is an integer number (766652850).

Almost surely, 220222450226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222450226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24532891200).

20222450226 is an abundant number, since it is smaller than the sum of its proper divisors (28843332174).

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

20222450226 is a wasteful number, since it uses less digits than its factorization.

20222450226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28952 (or 28946 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20222450226 its reverse (62205422202), we get a palindrome (82427872428).

The spelling of 20222450226 in words is "twenty billion, two hundred twenty-two million, four hundred fifty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1229 2458 3687 7374 11061 13519 22122 27038 27701 33183 40557 55402 66366 81114 83103 121671 166206 243342 249309 304711 365013 498618 609422 730026 747927 914133 1495854 1828266 2742399 5484798 8227197 16454394 34044529 68089058 102133587 204267174 306400761 374489819 612801522 748979638 919202283 1123469457 1838404566 2246938914 3370408371 6740816742 10111225113 20222450226