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2022484208004 = 2232135973246567
BaseRepresentation
bin11101011011100101011…
…100111110100110000100
321011100101101211221221200
4131123211130332212010
5231114021424124004
64145041051342500
7266056021055631
oct35334534764604
97140341757850
102022484208004
1170a804678077
12287b79a51a30
131189477cc470
146dc62a75188
1537921da5239
hex1d6e573e984

2022484208004 has 72 divisors (see below), whose sum is σ = 5598967657920. Its totient is φ = 611755319232.

The previous prime is 2022484207999. The next prime is 2022484208053. The reversal of 2022484208004 is 4008024842202.

It is a happy number.

2022484208004 is a `hidden beast` number, since 2 + 0 + 224 + 8 + 420 + 8 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2022484208004.

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 23 ways as a sum of consecutive naturals, for example, 36595672 + ... + 36650895.

Almost surely, 22022484208004 is an apocalyptic number.

It is an amenable number.

2022484208004 is an abundant number, since it is smaller than the sum of its proper divisors (3576483449916).

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

2022484208004 is a wasteful number, since it uses less digits than its factorization.

2022484208004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73246649 (or 73246644 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 2022484208004 in words is "two trillion, twenty-two billion, four hundred eighty-four million, two hundred eight thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1062 1534 2124 2301 3068 4602 6903 9204 13806 27612 73246567 146493134 219739701 292986268 439479402 659219103 878958804 952205371 1318438206 1904410742 2636876412 2856616113 3808821484 4321547453 5713232226 8569848339 8643094906 11426464452 12964642359 17139696678 17286189812 25929284718 34279393356 38893927077 51858569436 56180116889 77787854154 112360233778 155575708308 168540350667 224720467556 337080701334 505621052001 674161402668 1011242104002 2022484208004