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2240103000 = 233536112241
BaseRepresentation
bin1000010110000101…
…0100001001011000
312210010011000121210
42011201110021120
514041431244000
61010141103120
7106340363352
oct20541241130
95703130553
102240103000
11a4a5305a3
12526257aa0
13299133045
1417371a0d2
15d19de350
hex85854258

2240103000 has 128 divisors (see below), whose sum is σ = 7104277440. Its totient is φ = 587520000.

The previous prime is 2240102947. The next prime is 2240103031. The reversal of 2240103000 is 3010422.

It is a super-2 number, since 2×22401030002 = 10036122901218000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176880 + ... + 189120.

Almost surely, 22240103000 is an apocalyptic number.

2240103000 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 2240103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552138720).

2240103000 is an abundant number, since it is smaller than the sum of its proper divisors (4864174440).

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

2240103000 is a wasteful number, since it uses less digits than its factorization.

2240103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12326 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2240103000 is about 47329.7263883915. The cubic root of 2240103000 is about 1308.4465785198.

Adding to 2240103000 its reverse (3010422), we get a palindrome (2243113422).

The spelling of 2240103000 in words is "two billion, two hundred forty million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 125 150 183 200 244 250 300 305 366 375 488 500 600 610 732 750 915 1000 1220 1464 1500 1525 1830 2440 3000 3050 3660 4575 6100 7320 7625 9150 12200 12241 15250 18300 22875 24482 30500 36600 36723 45750 48964 61000 61205 73446 91500 97928 122410 146892 183000 183615 244820 293784 306025 367230 489640 612050 734460 746701 918075 1224100 1468920 1493402 1530125 1836150 2240103 2448200 2986804 3060250 3672300 3733505 4480206 4590375 5973608 6120500 7344600 7467010 8960412 9180750 11200515 12241000 14934020 17920824 18361500 18667525 22401030 29868040 36723000 37335050 44802060 56002575 74670100 89604120 93337625 112005150 149340200 186675250 224010300 280012875 373350500 448020600 560025750 746701000 1120051500 2240103000