Search a number
-
+
4025225204 = 22711213591549
BaseRepresentation
bin1110111111101100…
…0000111111110100
3101101112011121220222
43233323000333310
531220424201304
61503230313512
7201514564310
oct35773007764
911345147828
104025225204
111786153300
12944058898
134c1c14280
142a283cb40
151885a94be
hexefec0ff4

4025225204 has 144 divisors (see below), whose sum is σ = 9697296000. Its totient is φ = 1422178560.

The previous prime is 4025225203. The next prime is 4025225273.

4025225204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4025225203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2597822 + ... + 2599370.

Almost surely, 24025225204 is an apocalyptic number.

4025225204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4025225204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848648000).

4025225204 is an abundant number, since it is smaller than the sum of its proper divisors (5672070796).

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

4025225204 is a wasteful number, since it uses less digits than its factorization.

4025225204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 4025225204 is about 63444.6625335812. The cubic root of 4025225204 is about 1590.7309382722.

It can be divided in two parts, 40252 and 25204, that added together give a palindrome (65456).

The spelling of 4025225204 in words is "four billion, twenty-five million, two hundred twenty-five thousand, two hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 59 77 91 118 121 143 154 182 236 242 286 308 364 413 484 572 649 767 826 847 1001 1298 1534 1549 1573 1652 1694 2002 2596 3068 3098 3146 3388 4004 4543 5369 6196 6292 7139 8437 9086 10738 10843 11011 14278 16874 17039 18172 20137 21476 21686 22022 28556 33748 34078 40274 43372 44044 49973 59059 68156 80548 91391 92807 99946 118118 119273 140959 182782 185614 187429 199892 221507 236236 238546 281918 365564 371228 374858 443014 477092 563836 639737 649649 749716 886028 1005301 1188083 1279474 1299298 1312003 1550549 2010602 2376166 2436577 2558948 2598596 2624006 3101098 4021204 4752332 4873154 5248012 6202196 7037107 8316581 9746308 11058311 13068913 14074214 16633162 17056039 22116622 26137826 28148428 33266324 34112078 44233244 52275652 68224156 77408177 91482391 143758043 154816354 182964782 287516086 309632708 365929564 575032172 1006306301 2012612602 4025225204