Search a number
-
+
3002222202320 = 2451113924544001
BaseRepresentation
bin101011101100000010011…
…000110100110111010000
3101122000021000201211221202
4223230002120310313100
5343142022340433240
610215111333010332
7426621602444045
oct53540230646720
911560230654852
103002222202320
11a58265190220
12405a261839a8
1318a154036213
14a54460b31cc
1553164899315
hex2bb02634dd0

3002222202320 has 80 divisors (see below), whose sum is σ = 7669509744960. Its totient is φ = 1083863040000.

The previous prime is 3002222202293. The next prime is 3002222202373. The reversal of 3002222202320 is 232022222003.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 3002222202292 and 3002222202301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12149681 + ... + 12394320.

It is an arithmetic number, because the mean of its divisors is an integer number (95868871812).

Almost surely, 23002222202320 is an apocalyptic number.

It is an amenable number.

3002222202320 is an abundant number, since it is smaller than the sum of its proper divisors (4667287542640).

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

3002222202320 is a wasteful number, since it uses less digits than its factorization.

3002222202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24544164 (or 24544158 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 3002222202320 its reverse (232022222003), we get a palindrome (3234244424323).

The spelling of 3002222202320 in words is "three trillion, two billion, two hundred twenty-two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 139 176 220 278 440 556 695 880 1112 1390 1529 2224 2780 3058 5560 6116 7645 11120 12232 15290 24464 30580 61160 122320 24544001 49088002 98176004 122720005 196352008 245440010 269984011 392704016 490880020 539968022 981760040 1079936044 1349920055 1963520080 2159872088 2699840110 3411616139 4319744176 5399680220 6823232278 10799360440 13646464556 17058080695 21598720880 27292929112 34116161390 37527777529 54585858224 68232322780 75055555058 136464645560 150111110116 187638887645 272929291120 300222220232 375277775290 600444440464 750555550580 1501111101160 3002222202320