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2301223304424 = 2331197883710169
BaseRepresentation
bin100001011111001011100…
…110001111110011101000
322010222212012122011220110
4201133023212033303220
5300200401131220144
64521100053454320
7325154313226542
oct41371346176350
98128765564813
102301223304424
11807a41620880
12311bab0413a0
13139009956945
147d54626a692
153ecd7c7c0b9
hex217cb98fce8

2301223304424 has 128 divisors (see below), whose sum is σ = 6342106377600. Its totient is φ = 690005360640.

The previous prime is 2301223304407. The next prime is 2301223304467. The reversal of 2301223304424 is 4244033221032.

It is a super-2 number, since 2×23012233044242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2301223304391 and 2301223304400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226292812 + ... + 226302980.

It is an arithmetic number, because the mean of its divisors is an integer number (49547706075).

Almost surely, 22301223304424 is an apocalyptic number.

2301223304424 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 2301223304424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171053188800).

2301223304424 is an abundant number, since it is smaller than the sum of its proper divisors (4040883073176).

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

2301223304424 is a wasteful number, since it uses less digits than its factorization.

2301223304424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19123 (or 19119 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2301223304424 its reverse (4244033221032), we get a palindrome (6545256525456).

The spelling of 2301223304424 in words is "two trillion, three hundred one billion, two hundred twenty-three million, three hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 2134 2328 3201 4268 6402 8536 8837 10169 12804 17674 20338 25608 26511 30507 35348 40676 53022 61014 70696 81352 97207 106044 111859 122028 194414 212088 223718 244056 291621 335577 388828 447436 583242 671154 777656 857189 894872 986393 1166484 1342308 1714378 1972786 2332968 2571567 2684616 2959179 3428756 3945572 5143134 5918358 6857512 7891144 9429079 10286268 10850323 11836716 18858158 20572536 21700646 23673432 28287237 32550969 37716316 43401292 56574474 65101938 75432632 86802584 89863453 113148948 130203876 179726906 226297896 260407752 269590359 359453812 539180718 718907624 988497983 1078361436 1976995966 2156722872 2965493949 3953991932 5930987898 7907983864 8716754941 11861975796 17433509882 23723951592 26150264823 34867019764 52300529646 69734039528 95884304351 104601059292 191768608702 209202118584 287652913053 383537217404 575305826106 767074434808 1150611652212 2301223304424