Search a number
-
+
2504010220 = 225292413631
BaseRepresentation
bin1001010101000000…
…0010100111101100
320110111201220021021
42111100002213230
520112011311340
61052245343524
7116023510225
oct22520024754
96414656237
102504010220
1110754a2a38
1259a707ba4
1330ba0486a
1419a7b624c
15e9c6de4a
hex954029ec

2504010220 has 72 divisors (see below), whose sum is σ = 5580364608. Its totient is φ = 943219200.

The previous prime is 2504010169. The next prime is 2504010221. The reversal of 2504010220 is 220104052.

It is a junction number, because it is equal to n+sod(n) for n = 2504010194 and 2504010203.

It is not an unprimeable number, because it can be changed into a prime (2504010221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687805 + ... + 691435.

It is an arithmetic number, because the mean of its divisors is an integer number (77505064).

Almost surely, 22504010220 is an apocalyptic number.

2504010220 is a gapful number since it is divisible by the number (20) 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 2504010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790182304).

2504010220 is an abundant number, since it is smaller than the sum of its proper divisors (3076354388).

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

2504010220 is a wasteful number, since it uses less digits than its factorization.

2504010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2504010220 is about 50040.0861310210. The cubic root of 2504010220 is about 1357.9341147381.

Adding to 2504010220 its reverse (220104052), we get a palindrome (2724114272).

The spelling of 2504010220 in words is "two billion, five hundred four million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 841 1189 1682 2378 3364 3631 4205 4756 5945 7262 8410 11890 14524 16820 18155 23780 34481 36310 68962 72620 105299 137924 148871 172405 210598 297742 344810 421196 526495 595484 689620 744355 1052990 1488710 2105980 2977420 3053671 4317259 6107342 8634518 12214684 15268355 17269036 21586295 30536710 43172590 61073420 86345180 125200511 250401022 500802044 626002555 1252005110 2504010220