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2241246304 = 251141971601
BaseRepresentation
bin1000010110010110…
…1011010001100000
312210012022002221101
42011211223101200
514042224340204
61010221404144
7106353164533
oct20545532140
95705262841
102241246304
11a50141580
12526709654
1329944355b
14173936a1a
15d1b67ea4
hex8596b460

2241246304 has 96 divisors (see below), whose sum is σ = 4984936992. Its totient is φ = 983040000.

The previous prime is 2241246239. The next prime is 2241246307. The reversal of 2241246304 is 4036421422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241246307) by changing a digit.

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, 1399104 + ... + 1400704.

It is an arithmetic number, because the mean of its divisors is an integer number (51926427).

Almost surely, 22241246304 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 2241246304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492468496).

2241246304 is an abundant number, since it is smaller than the sum of its proper divisors (2743690688).

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

2241246304 is a wasteful number, since it uses less digits than its factorization.

2241246304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2241246304 is about 47341.8029229982. The cubic root of 2241246304 is about 1308.6691423599.

Adding to 2241246304 its reverse (4036421422), we get a palindrome (6277667726).

The spelling of 2241246304 in words is "two billion, two hundred forty-one million, two hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 97 164 176 194 328 352 388 451 656 776 902 1067 1312 1552 1601 1804 2134 3104 3202 3608 3977 4268 6404 7216 7954 8536 12808 14432 15908 17072 17611 25616 31816 34144 35222 43747 51232 63632 65641 70444 87494 127264 131282 140888 155297 174988 262564 281776 310594 349976 525128 563552 621188 699952 722051 1050256 1242376 1399904 1444102 1708267 2100512 2484752 2888204 3416534 4969504 5776408 6367177 6833068 11552816 12734354 13666136 23105632 25468708 27332272 50937416 54664544 70038947 101874832 140077894 203749664 280155788 560311576 1120623152 2241246304