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2240541136 = 242347281461
BaseRepresentation
bin1000010110001011…
…1111000111010000
312210010222021122001
42011202333013100
514042034304021
61010154323344
7106344166621
oct20542770720
95703867561
102240541136
11a4a7aa799
12526429554
132992575b2
141737d1a48
15d1a79091
hex858bf1d0

2240541136 has 80 divisors (see below), whose sum is σ = 4652702208. Its totient is φ = 1042764800.

The previous prime is 2240541119. The next prime is 2240541137. The reversal of 2240541136 is 6311450422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240541137) 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, 4859946 + ... + 4860406.

Almost surely, 22240541136 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 2240541136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326351104).

2240541136 is an abundant number, since it is smaller than the sum of its proper divisors (2412161072).

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

2240541136 is a wasteful number, since it uses less digits than its factorization.

2240541136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2240541136 is about 47334.3547119848. The cubic root of 2240541136 is about 1308.5318781956.

Adding to 2240541136 its reverse (6311450422), we get a palindrome (8551991558).

The spelling of 2240541136 in words is "two billion, two hundred forty million, five hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 281 368 376 461 562 752 922 1081 1124 1844 2162 2248 3688 4324 4496 6463 7376 8648 10603 12926 13207 17296 21206 21667 25852 26414 42412 43334 51704 52828 84824 86668 103408 105656 129541 169648 173336 211312 259082 303761 346672 498341 518164 607522 996682 1036328 1215044 1993364 2072656 2430088 2979443 3986728 4860176 5958886 6088427 7973456 11917772 12176854 23835544 24353708 47671088 48707416 97414832 140033821 280067642 560135284 1120270568 2240541136