Search a number
-
+
20268822132 = 22341331155231
BaseRepresentation
bin10010111000000111…
…011010111001110100
31221022120100211220000
4102320013122321310
5313002304302012
613151131111300
71315165100616
oct227007327164
957276324800
1020268822132
118661249079
123b17ba2530
131bb02aa5a0
14da3ca0db6
157d966bddc
hex4b81dae74

20268822132 has 120 divisors (see below), whose sum is σ = 58903713792. Its totient is φ = 6035342400.

The previous prime is 20268822121. The next prime is 20268822139. The reversal of 20268822132 is 23122886202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20268822139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52957 + ... + 208187.

Almost surely, 220268822132 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 20268822132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29451856896).

20268822132 is an abundant number, since it is smaller than the sum of its proper divisors (38634891660).

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

20268822132 is a wasteful number, since it uses less digits than its factorization.

20268822132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155291 (or 155280 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20268822132 in words is "twenty billion, two hundred sixty-eight million, eight hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 279 324 351 372 403 468 558 702 806 837 1053 1116 1209 1404 1612 1674 2106 2418 2511 3348 3627 4212 4836 5022 7254 10044 10881 14508 21762 32643 43524 65286 130572 155231 310462 465693 620924 931386 1397079 1862772 2018003 2794158 4036006 4191237 4812161 5588316 6054009 8072012 8382474 9624322 12108018 12573711 14436483 16764948 18162027 19248644 24216036 25147422 28872966 36324054 43309449 50294844 54486081 57745932 62558093 72648108 86618898 108972162 125116186 129928347 163458243 173237796 187674279 217944324 250232372 259856694 326916486 375348558 389785041 519713388 563022837 653832972 750697116 779570082 1126045674 1559140164 1689068511 2252091348 3378137022 5067205533 6756274044 10134411066 20268822132