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2240187856 = 241923437451
BaseRepresentation
bin1000010110000110…
…1000110111010000
312210010022100000121
42011201220313100
514041442002411
61010143000024
7106341165634
oct20541506720
95703270017
102240187856
11a4a589325
12526299014
1329916285a
1417373cdc4
15d1a09571
hex85868dd0

2240187856 has 80 divisors (see below), whose sum is σ = 4878973440. Its totient is φ = 991267200.

The previous prime is 2240187839. The next prime is 2240187871. The reversal of 2240187856 is 6587810422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

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, 296931 + ... + 304381.

It is an arithmetic number, because the mean of its divisors is an integer number (60987168).

Almost surely, 22240187856 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 2240187856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439486720).

2240187856 is an abundant number, since it is smaller than the sum of its proper divisors (2638785584).

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

2240187856 is a wasteful number, since it uses less digits than its factorization.

2240187856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7538 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 2240187856 is about 47330.6228144105. The cubic root of 2240187856 is about 1308.4630998049.

It can be divided in two parts, 2240 and 187856, that added together give a square (190096 = 4362).

The spelling of 2240187856 in words is "two billion, two hundred forty million, one hundred eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 19 23 38 43 46 76 86 92 152 172 184 304 344 368 437 688 817 874 989 1634 1748 1978 3268 3496 3956 6536 6992 7451 7912 13072 14902 15824 18791 29804 37582 59608 75164 119216 141569 150328 171373 283138 300656 320393 342746 566276 640786 685492 1132552 1281572 1370984 2265104 2563144 2741968 3256087 5126288 6087467 6512174 7369039 12174934 13024348 14738078 24349868 26048696 29476156 48699736 52097392 58952312 97399472 117904624 140011741 280023482 560046964 1120093928 2240187856