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2241430002 = 233710954401
BaseRepresentation
bin1000010110011001…
…1000000111110010
312210012122102221000
42011212120013302
514042301230002
61010225342430
7106354561230
oct20546300762
95705572830
102241430002
11a50257599
12526797a16
132994a9056
14173983950
15d1ba261c
hex859981f2

2241430002 has 64 divisors (see below), whose sum is σ = 5744851200. Its totient is φ = 634521600.

The previous prime is 2241429973. The next prime is 2241430069. The reversal of 2241430002 is 2000341422.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14002 + ... + 68402.

It is an arithmetic number, because the mean of its divisors is an integer number (89763300).

Almost surely, 22241430002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241430002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872425600).

2241430002 is an abundant number, since it is smaller than the sum of its proper divisors (3503421198).

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

2241430002 is a wasteful number, since it uses less digits than its factorization.

2241430002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54528 (or 54522 counting only the distinct ones).

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

The square root of 2241430002 is about 47343.7430079203. The cubic root of 2241430002 is about 1308.7048952855.

Adding to 2241430002 its reverse (2000341422), we get a palindrome (4241771424).

The spelling of 2241430002 in words is "two billion, two hundred forty-one million, four hundred thirty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 189 218 327 378 654 763 981 1526 1962 2289 2943 4578 5886 6867 13734 20601 41202 54401 108802 163203 326406 380807 489609 761614 979218 1142421 1468827 2284842 2937654 3427263 5929709 6854526 10281789 11859418 17789127 20563578 35578254 41507963 53367381 83015926 106734762 124523889 160102143 249047778 320204286 373571667 747143334 1120715001 2241430002