Search a number
-
+
220253124 = 2237131011997
BaseRepresentation
bin11010010000011…
…00101111000100
3120100110000111010
431020030233010
5422341044444
633504442220
75313056250
oct1510145704
9510400433
10220253124
11103366483
1261919370
13368289c0
1421375260
151450a2b9
hexd20cbc4

220253124 has 96 divisors (see below), whose sum is σ = 639104256. Its totient is φ = 57484800.

The previous prime is 220253113. The next prime is 220253153. The reversal of 220253124 is 421352022.

It is a super-2 number, since 2×2202531242 = 97022877263518752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 220253124.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109294 + ... + 111290.

It is an arithmetic number, because the mean of its divisors is an integer number (6657336).

Almost surely, 2220253124 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 220253124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319552128).

220253124 is an abundant number, since it is smaller than the sum of its proper divisors (418851132).

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

220253124 is a wasteful number, since it uses less digits than its factorization.

220253124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 220253124 is about 14840.9273295168. The cubic root of 220253124 is about 603.9125094390.

It can be divided in two parts, 220253 and 124, that multiplied together give a palindrome (27311372).

The spelling of 220253124 in words is "two hundred twenty million, two hundred fifty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 101 156 182 202 273 303 364 404 546 606 707 1092 1212 1313 1414 1997 2121 2626 2828 3939 3994 4242 5252 5991 7878 7988 8484 9191 11982 13979 15756 18382 23964 25961 27573 27958 36764 41937 51922 55146 55916 77883 83874 103844 110292 155766 167748 181727 201697 311532 363454 403394 545181 605091 726908 806788 1090362 1210182 1411879 2180724 2420364 2622061 2823758 4235637 5244122 5647516 7866183 8471274 10488244 15732366 16942548 18354427 31464732 36708854 55063281 73417708 110126562 220253124