Search a number
-
+
4425355220 = 225111310714461
BaseRepresentation
bin1000001111100010…
…11000111111010100
3102102102002100010012
410013301120333110
533030342331340
62011042415352
7214443620156
oct40761307724
912372070105
104425355220
111970aa7970
12a36061558
13556a9cab0
142dda38ad6
151ad796565
hex107c58fd4

4425355220 has 96 divisors (see below), whose sum is σ = 11020738176. Its totient is φ = 1471449600.

The previous prime is 4425355133. The next prime is 4425355223. The reversal of 4425355220 is 225535244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4425355223) 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 31 ways as a sum of consecutive naturals, for example, 298790 + ... + 313250.

It is an arithmetic number, because the mean of its divisors is an integer number (114799356).

Almost surely, 24425355220 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 4425355220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510369088).

4425355220 is an abundant number, since it is smaller than the sum of its proper divisors (6595382956).

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

4425355220 is a wasteful number, since it uses less digits than its factorization.

4425355220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14601 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 4425355220 is about 66523.3434216892. The cubic root of 4425355220 is about 1641.7841009668.

The spelling of 4425355220 in words is "four billion, four hundred twenty-five million, three hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 107 110 130 143 214 220 260 286 428 535 572 715 1070 1177 1391 1430 2140 2354 2782 2860 4708 5564 5885 6955 11770 13910 14461 15301 23540 27820 28922 30602 57844 61204 72305 76505 144610 153010 159071 187993 289220 306020 318142 375986 636284 751972 795355 939965 1547327 1590710 1879930 2067923 3094654 3181420 3759860 4135846 6189308 7736635 8271692 10339615 15473270 17020597 20115251 20679230 30946540 34041194 40230502 41358460 68082388 80461004 85102985 100576255 170205970 201152510 221267761 340411940 402305020 442535522 885071044 1106338805 2212677610 4425355220