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2302000332320 = 255135927186727
BaseRepresentation
bin100001011111111001111…
…010010111111000100000
322011001212100202021210102
4201133321322113320200
5300203444041113240
64521305132121532
7325212466655153
oct41377172277040
98131770667712
102302000332320
118083001a1397
123121873062a8
13139101925670
147d5bb535c9a
153ed310b7815
hex217f9e97e20

2302000332320 has 96 divisors (see below), whose sum is σ = 5857839606528. Its totient is φ = 849821395968.

The previous prime is 2302000332311. The next prime is 2302000332361. The reversal of 2302000332320 is 232330002032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2302000332292 and 2302000332301.

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 15 ways as a sum of consecutive naturals, for example, 12234797 + ... + 12421523.

It is an arithmetic number, because the mean of its divisors is an integer number (61019162568).

Almost surely, 22302000332320 is an apocalyptic number.

2302000332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2302000332320 is an abundant number, since it is smaller than the sum of its proper divisors (3555839274208).

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

2302000332320 is a wasteful number, since it uses less digits than its factorization.

2302000332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192682 (or 192674 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 2302000332320 its reverse (232330002032), we get a palindrome (2534330334352).

The spelling of 2302000332320 in words is "two trillion, three hundred two billion, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5927 11854 23708 29635 47416 59270 77051 94832 118540 154102 186727 189664 237080 308204 373454 385255 474160 616408 746908 770510 933635 948320 1232816 1493816 1541020 1867270 2427451 2465632 2987632 3082040 3734540 4854902 5975264 6164080 7469080 9709804 12137255 12328160 14938160 19419608 24274510 29876320 38839216 48549020 77678432 97098040 194196080 388392160 1106730929 2213461858 4426923716 5533654645 8853847432 11067309290 14387502077 17707694864 22134618580 28775004154 35415389728 44269237160 57550008308 71937510385 88538474320 115100016616 143875020770 177076948640 230200033232 287750041540 460400066464 575500083080 1151000166160 2302000332320