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2230022402304 = 28328114337211
BaseRepresentation
bin100000011100110111101…
…100010111000100000000
321220012002002120121000120
4200130313230113010000
5243014041213333204
64424242543220240
7320054014443534
oct40346754270400
97805062517016
102230022402304
1178a824567214
12300239ba7680
131323a0790328
1479d0dd6bbc4
153d01c0036d9
hex20737b17100

2230022402304 has 144 divisors (see below), whose sum is σ = 5961216147264. Its totient is φ = 740075929600.

The previous prime is 2230022402233. The next prime is 2230022402359. The reversal of 2230022402304 is 4032042200322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309249259 + ... + 309256469.

It is an arithmetic number, because the mean of its divisors is an integer number (41397334356).

Almost surely, 22230022402304 is an apocalyptic number.

2230022402304 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 2230022402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980608073632).

2230022402304 is an abundant number, since it is smaller than the sum of its proper divisors (3731193744960).

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

2230022402304 is a wasteful number, since it uses less digits than its factorization.

2230022402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8944 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2230022402304 its reverse (4032042200322), we get a palindrome (6262064602626).

The spelling of 2230022402304 in words is "two trillion, two hundred thirty billion, twenty-two million, four hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 281 384 562 768 843 1124 1433 1686 2248 2866 3372 4299 4496 5732 6744 7211 8598 8992 11464 13488 14422 17196 17984 21633 22928 26976 28844 34392 35968 43266 45856 53952 57688 68784 71936 86532 91712 107904 115376 137568 173064 183424 215808 230752 275136 346128 366848 402673 461504 550272 692256 805346 923008 1100544 1208019 1384512 1610692 1846016 2026291 2416038 2769024 3221384 4052582 4832076 5538048 6078873 6442768 8105164 9664152 10333363 12157746 12885536 16210328 19328304 20666726 24315492 25771072 31000089 32420656 38656608 41333452 48630984 51542144 62000178 64841312 77313216 82666904 97261968 103084288 124000356 129682624 154626432 165333808 194523936 248000712 259365248 309252864 330667616 389047872 496001424 518730496 661335232 778095744 992002848 1322670464 1556191488 1984005696 2645340928 2903675003 3968011392 5807350006 7936022784 8711025009 11614700012 17422050018 23229400024 34844100036 46458800048 69688200072 92917600096 139376400144 185835200192 278752800288 371670400384 557505600576 743340800768 1115011201152 2230022402304