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220425876 = 22321117137239
BaseRepresentation
bin11010010001101…
…10111010010100
3120100202210110100
431020312322110
5422412112001
633512254100
75314406016
oct1510667224
9510683410
10220425876
11103474250
12619a1330
1336889518
14213bc1b6
1514541586
hexd236e94

220425876 has 144 divisors (see below), whose sum is σ = 651006720. Its totient is φ = 62146560.

The previous prime is 220425847. The next prime is 220425883. The reversal of 220425876 is 678524022.

220425876 is a `hidden beast` number, since 220 + 425 + 8 + 7 + 6 = 666.

220425876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220425876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922165 + ... + 922403.

It is an arithmetic number, because the mean of its divisors is an integer number (4520880).

Almost surely, 2220425876 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 220425876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325503360).

220425876 is an abundant number, since it is smaller than the sum of its proper divisors (430580844).

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

220425876 is a wasteful number, since it uses less digits than its factorization.

220425876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 220425876 is about 14846.7463102189. The cubic root of 220425876 is about 604.0703578698.

Adding to 220425876 its reverse (678524022), we get a palindrome (898949898).

The spelling of 220425876 in words is "two hundred twenty million, four hundred twenty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 137 153 187 198 204 239 274 306 374 396 411 478 548 561 612 717 748 822 956 1122 1233 1434 1507 1644 1683 2151 2244 2329 2466 2629 2868 3014 3366 4063 4302 4521 4658 4932 5258 6028 6732 6987 7887 8126 8604 9042 9316 10516 12189 13563 13974 15774 16252 18084 20961 23661 24378 25619 27126 27948 31548 32743 36567 41922 44693 47322 48756 51238 54252 65486 73134 76857 83844 89386 94644 98229 102476 130972 134079 146268 153714 178772 196458 230571 268158 294687 307428 360173 392916 402237 461142 536316 556631 589374 720346 804474 922284 1080519 1113262 1178748 1440692 1608948 1669893 2161038 2226524 3241557 3339786 4322076 5009679 6122941 6483114 6679572 10019358 12245882 12966228 18368823 20038716 24491764 36737646 55106469 73475292 110212938 220425876