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2220331434399 = 3213149670319001
BaseRepresentation
bin100000010011110110000…
…100010000000110011111
321212021001201022102020100
4200103312010100012133
5242334214321400044
64420001200152143
7316261611540021
oct40236604200637
97767051272210
102220331434399
11786701235631
122ba394608653
131314b7b13ab0
1479670c90011
153cb5133a869
hex204f611019f

2220331434399 has 48 divisors (see below), whose sum is σ = 3477730838400. Its totient is φ = 1356913728000.

The previous prime is 2220331434359. The next prime is 2220331434469. The reversal of 2220331434399 is 9934341330222.

2220331434399 is a `hidden beast` number, since 2 + 2 + 203 + 3 + 1 + 4 + 3 + 439 + 9 = 666.

It is not a de Polignac number, because 2220331434399 - 223 = 2220323045791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220331434359) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 116843899 + ... + 116862899.

It is an arithmetic number, because the mean of its divisors is an integer number (72452725800).

Almost surely, 22220331434399 is an apocalyptic number.

2220331434399 is a deficient number, since it is larger than the sum of its proper divisors (1257399404001).

2220331434399 is a wasteful number, since it uses less digits than its factorization.

2220331434399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25872 (or 25869 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 2220331434399 in words is "two trillion, two hundred twenty billion, three hundred thirty-one million, four hundred thirty-four thousand, three hundred ninety-nine".

Divisors: 1 3 9 13 39 117 149 447 1341 1937 5811 6703 17433 19001 20109 57003 60327 87139 171009 247013 261417 741039 784251 998747 2223117 2831149 2996241 8493447 8988723 12983711 25480341 36804937 38951133 110414811 116853399 127363703 331244433 382091109 1146273327 1655728139 4967184417 14901553251 18977191747 56931575241 170794725723 246703492711 740110478133 2220331434399