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2300320220004 = 22326721143110487
BaseRepresentation
bin100001011110010101110…
…001010000001101100100
322010220112021022201222100
4201132111301100031210
5300142023434020004
64520430313332100
7325123036153422
oct41362561201544
98126467281870
102300320220004
11807618882114
12311998707030
13138bc4820371
147d49c34a112
153ec83841739
hex21795c50364

2300320220004 has 144 divisors (see below), whose sum is σ = 5943778154496. Its totient is φ = 749933553600.

The previous prime is 2300320219987. The next prime is 2300320220017. The reversal of 2300320220004 is 4000220230032.

It is a super-2 number, since 2×23003202200042 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219344449 + ... + 219354935.

It is an arithmetic number, because the mean of its divisors is an integer number (41276237184).

Almost surely, 22300320220004 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 2300320220004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971889077248).

2300320220004 is an abundant number, since it is smaller than the sum of its proper divisors (3643457934492).

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

2300320220004 is a wasteful number, since it uses less digits than its factorization.

2300320220004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11206 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2300320220004 its reverse (4000220230032), we get a palindrome (6300540450036).

The spelling of 2300320220004 in words is "two trillion, three hundred billion, three hundred twenty million, two hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 211 268 402 422 431 603 633 804 844 862 1206 1266 1293 1724 1899 2412 2532 2586 3798 3879 5172 7596 7758 10487 14137 15516 20974 28274 28877 31461 41948 42411 56548 57754 62922 84822 86631 90941 94383 115508 125844 127233 169644 173262 181882 188766 254466 259893 272823 346524 363764 377532 508932 519786 545646 702629 818469 1039572 1091292 1405258 1636938 2107887 2212757 2810516 3273876 4215774 4425514 4519897 6093047 6323661 6638271 8431548 8851028 9039794 12186094 12647322 13276542 13559691 18079588 18279141 19914813 24372188 25294644 26553084 27119382 36558282 39829626 40679073 54238764 54837423 73116564 79659252 81358146 109674846 148254719 162716292 219349692 296509438 302833099 444764157 593018876 605666198 889528314 908499297 953698267 1211332396 1334292471 1779056628 1816998594 1907396534 2668584942 2725497891 2861094801 3633997188 3814793068 5337169884 5450995782 5722189602 8583284403 10901991564 11444379204 17166568806 34333137612 63897783889 127795567778 191693351667 255591135556 383386703334 575080055001 766773406668 1150160110002 2300320220004