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2201312304 = 243241477933
BaseRepresentation
bin1000001100110101…
…0101110000110000
312200102011020210100
42003031111300300
514002013443204
61002233432400
7105356563062
oct20315256060
95612136710
102201312304
11a2a646574
1251526b700
132910a0a79
1416c4dd732
15cd3caa39
hex83355c30

2201312304 has 120 divisors (see below), whose sum is σ = 6445962432. Its totient is φ = 700554240.

The previous prime is 2201312291. The next prime is 2201312369. The reversal of 2201312304 is 4032131022.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 273522 + ... + 281454.

Almost surely, 22201312304 is an apocalyptic number.

2201312304 is a gapful number since it is divisible by the number (24) 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 2201312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222981216).

2201312304 is an abundant number, since it is smaller than the sum of its proper divisors (4244650128).

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

2201312304 is a wasteful number, since it uses less digits than its factorization.

2201312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8035 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2201312304 is about 46918.1447203531. The cubic root of 2201312304 is about 1300.8499971705.

Adding to 2201312304 its reverse (4032131022), we get a palindrome (6233443326).

The spelling of 2201312304 in words is "two billion, two hundred one million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 47 48 72 82 94 123 141 144 164 188 246 282 328 369 376 423 492 564 656 738 752 846 984 1128 1476 1692 1927 1968 2256 2952 3384 3854 5781 5904 6768 7708 7933 11562 15416 15866 17343 23124 23799 30832 31732 34686 46248 47598 63464 69372 71397 92496 95196 126928 138744 142794 190392 277488 285588 325253 372851 380784 571176 650506 745702 975759 1118553 1142352 1301012 1491404 1951518 2237106 2602024 2927277 2982808 3355659 3903036 4474212 5204048 5854554 5965616 6711318 7806072 8948424 11709108 13422636 15286891 15612144 17896848 23418216 26845272 30573782 45860673 46836432 53690544 61147564 91721346 122295128 137582019 183442692 244590256 275164038 366885384 550328076 733770768 1100656152 2201312304