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2230430344000 = 2653563495211
BaseRepresentation
bin100000011101010000000…
…000100010001101000000
321220020010112012011211021
4200131100000202031000
5243020410132002000
64424351234555224
7320100100053115
oct40352000421500
97806115164737
102230430344000
1178aa13866911
12300332738b14
13132437152651
1479d4c1dc90c
153d042c3511a
hex20750022340

2230430344000 has 112 divisors (see below), whose sum is σ = 5533483041216. Its totient is φ = 890585664000.

The previous prime is 2230430343893. The next prime is 2230430344007. The reversal of 2230430344000 is 4430340322.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230430344007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4256395 + ... + 4751605.

Almost surely, 22230430344000 is an apocalyptic number.

2230430344000 is a gapful number since it is divisible by the number (20) 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 2230430344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766741520608).

2230430344000 is an abundant number, since it is smaller than the sum of its proper divisors (3303052697216).

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

2230430344000 is an equidigital number, since it uses as much as digits as its factorization.

2230430344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495801 (or 495781 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 2230430344000 its reverse (4430340322), we get a palindrome (2234860684322).

The spelling of 2230430344000 in words is "two trillion, two hundred thirty billion, four hundred thirty million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 563 800 1000 1126 1600 2000 2252 2815 4000 4504 5630 8000 9008 11260 14075 18016 22520 28150 36032 45040 56300 70375 90080 112600 140750 180160 225200 281500 450400 495211 563000 900800 990422 1126000 1980844 2252000 2476055 3961688 4504000 4952110 7923376 9904220 12380275 15846752 19808440 24760550 31693504 39616880 49521100 61901375 79233760 99042200 123802750 158467520 198084400 247605500 278803793 396168800 495211000 557607586 792337600 990422000 1115215172 1394018965 1980844000 2230430344 2788037930 3961688000 4460860688 5576075860 6970094825 8921721376 11152151720 13940189650 17843442752 22304303440 27880379300 34850474125 44608606880 55760758600 69700948250 89217213760 111521517200 139401896500 223043034400 278803793000 446086068800 557607586000 1115215172000 2230430344000