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2230005012000 = 25353185833751
BaseRepresentation
bin100000011100110110101…
…010000001011000100000
321220012000212212002000020
4200130312222001120200
5243014022240341000
64424241122353440
7320053413564123
oct40346652013040
97805025762006
102230005012000
1178a815769667
123002341bb880
13132399cb19cc
1479d0b9223ba
153d01a71aba0
hex20736a81620

2230005012000 has 96 divisors (see below), whose sum is σ = 7305496458624. Its totient is φ = 594668000000.

The previous prime is 2230005011989. The next prime is 2230005012007. The reversal of 2230005012000 is 2105000322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2230005012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92904876 + ... + 92928875.

It is an arithmetic number, because the mean of its divisors is an integer number (76098921444).

Almost surely, 22230005012000 is an apocalyptic number.

2230005012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230005012000 is an abundant number, since it is smaller than the sum of its proper divisors (5075491446624).

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

2230005012000 is a wasteful number, since it uses less digits than its factorization.

2230005012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185833779 (or 185833761 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The spelling of 2230005012000 in words is "two trillion, two hundred thirty billion, five million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 185833751 371667502 557501253 743335004 929168755 1115002506 1486670008 1858337510 2230005012 2787506265 2973340016 3716675020 4460010024 4645843775 5575012530 5946680032 7433350040 8920020048 9291687550 11150025060 13937531325 14866700080 17840040096 18583375100 22300050120 23229218875 27875062650 29733400160 37166750200 44600100240 46458437750 55750125300 69687656625 74333500400 89200200480 92916875500 111500250600 139375313250 148667000800 185833751000 223000501200 278750626500 371667502000 446001002400 557501253000 743335004000 1115002506000 2230005012000