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2240400012 = 2231715237211
BaseRepresentation
bin1000010110001001…
…1100101010001100
312210010201010001020
42011202130222030
514042020300022
61010151314140
7106343041314
oct20542345214
95703633036
102240400012
11a4a713764
1252637b950
132992082a6
14173796444
15d1a4c35c
hex8589ca8c

2240400012 has 48 divisors (see below), whose sum is σ = 5539508352. Its totient is φ = 702311680.

The previous prime is 2240400007. The next prime is 2240400049. The reversal of 2240400012 is 2100040422.

It is a junction number, because it is equal to n+sod(n) for n = 2240399964 and 2240400000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307087 + ... + 314297.

It is an arithmetic number, because the mean of its divisors is an integer number (115406424).

Almost surely, 22240400012 is an apocalyptic number.

It is an amenable number.

2240400012 is an abundant number, since it is smaller than the sum of its proper divisors (3299108340).

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

2240400012 is a wasteful number, since it uses less digits than its factorization.

2240400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2240400012 is about 47332.8639741987. The cubic root of 2240400012 is about 1308.5044043074.

Adding to 2240400012 its reverse (2100040422), we get a palindrome (4340440434).

The spelling of 2240400012 in words is "two billion, two hundred forty million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 1523 3046 4569 6092 7211 9138 14422 18276 21633 25891 28844 43266 51782 77673 86532 103564 122587 155346 245174 310692 367761 490348 735522 1471044 10982353 21964706 32947059 43929412 65894118 131788236 186700001 373400002 560100003 746800004 1120200006 2240400012