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2240103112 = 231327322697
BaseRepresentation
bin1000010110000101…
…0100001011001000
312210010011000202221
42011201110023020
514041431244422
61010141103424
7106340363602
oct20541241310
95703130687
102240103112
11a4a530695
12526257b74
13299133100
1417371a172
15d19de3c7
hex858542c8

2240103112 has 48 divisors (see below), whose sum is σ = 4610644740. Its totient is φ = 1019685888.

The previous prime is 2240103109. The next prime is 2240103119. The reversal of 2240103112 is 2113010422.

It can be written as a sum of positive squares in 6 ways, for example, as 7918596 + 2232184516 = 2814^2 + 47246^2 .

It is not an unprimeable number, because it can be changed into a prime (2240103119) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 87348 + ... + 110044.

Almost surely, 22240103112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305322370).

2240103112 is an abundant number, since it is smaller than the sum of its proper divisors (2370541628).

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

2240103112 is a wasteful number, since it uses less digits than its factorization.

2240103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22802 (or 22785 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2240103112 is about 47329.7275715802. The cubic root of 2240103112 is about 1308.4466003263.

Adding to 2240103112 its reverse (2113010422), we get a palindrome (4353113534).

The spelling of 2240103112 in words is "two billion, two hundred forty million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 73 104 146 169 292 338 584 676 949 1352 1898 3796 7592 12337 22697 24674 45394 49348 90788 98696 181576 295061 590122 1180244 1656881 2360488 3313762 3835793 6627524 7671586 13255048 15343172 21539453 30686344 43078906 86157812 172315624 280012889 560025778 1120051556 2240103112