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2240132312 = 2311731073259
BaseRepresentation
bin1000010110000101…
…1011010011011000
312210010012111211102
42011201123103120
514041433213222
61010141450532
7106340544665
oct20541332330
95703174742
102240132312
11a4a550620
12526270a48
132991434a2
14173726a6c
15d19e7d92
hex8585b4d8

2240132312 has 64 divisors (see below), whose sum is σ = 4689705600. Its totient is φ = 994602240.

The previous prime is 2240132287. The next prime is 2240132317. The reversal of 2240132312 is 2132310422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240132317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685739 + ... + 688997.

It is an arithmetic number, because the mean of its divisors is an integer number (73276650).

Almost surely, 22240132312 is an apocalyptic number.

2240132312 is a gapful number since it is divisible by the number (22) 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 2240132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344852800).

2240132312 is an abundant number, since it is smaller than the sum of its proper divisors (2449573288).

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

2240132312 is a wasteful number, since it uses less digits than its factorization.

2240132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2240132312 is about 47330.0360447782. The cubic root of 2240132312 is about 1308.4522855519.

Adding to 2240132312 its reverse (2132310422), we get a palindrome (4372442734).

The spelling of 2240132312 in words is "two billion, two hundred forty million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 73 88 107 146 214 292 428 584 803 856 1177 1606 2354 3212 3259 4708 6424 6518 7811 9416 13036 15622 26072 31244 35849 62488 71698 85921 143396 171842 237907 286792 343684 348713 475814 687368 697426 951628 1394852 1903256 2616977 2789704 3835843 5233954 7671686 10467908 15343372 20935816 25456049 30686744 50912098 101824196 203648392 280016539 560033078 1120066156 2240132312