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2000441430 = 2325138919211
BaseRepresentation
bin111011100111100…
…0101000001010110
312011102011221202100
41313033011001112
513044103111210
6530300222530
7100400320521
oct16717050126
95142157670
102000441430
11937219289
12479b3aa46
1325b5a0270
1414d971bb8
15ba94d5c0
hex773c5056

2000441430 has 96 divisors (see below), whose sum is σ = 5664466080. Its totient is φ = 486858240.

The previous prime is 2000441423. The next prime is 2000441437. The reversal of 2000441430 is 341440002.

It is an interprime number because it is at equal distance from previous prime (2000441423) and next prime (2000441437).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000441437) 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, 94525 + ... + 113735.

It is an arithmetic number, because the mean of its divisors is an integer number (59004855).

Almost surely, 22000441430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000441430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832233040).

2000441430 is an abundant number, since it is smaller than the sum of its proper divisors (3664024650).

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

2000441430 is a wasteful number, since it uses less digits than its factorization.

2000441430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19326 (or 19323 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2000441430 is about 44726.2946151366. The cubic root of 2000441430 is about 1260.0137375675.

Adding to 2000441430 its reverse (341440002), we get a palindrome (2341881432).

The spelling of 2000441430 in words is "two billion, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 89 90 117 130 178 195 234 267 390 445 534 585 801 890 1157 1170 1335 1602 2314 2670 3471 4005 5785 6942 8010 10413 11570 17355 19211 20826 34710 38422 52065 57633 96055 104130 115266 172899 192110 249743 288165 345798 499486 576330 749229 864495 1248715 1498458 1709779 1728990 2247687 2497430 3419558 3746145 4495374 5129337 7492290 8548895 10258674 11238435 15388011 17097790 22227127 22476870 25646685 30776022 44454254 51293370 66681381 76940055 111135635 133362762 153880110 200044143 222271270 333406905 400088286 666813810 1000220715 2000441430