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2205022050054 = 23237139125918919
BaseRepresentation
bin100000000101100101100…
…011100101011100000110
321210210112210000010000100
4200011211203211130012
5242111341121100204
64404550111024530
7315210334114305
oct40054543453406
97723483003010
102205022050054
1178016550a57a
122b742150b146
1312cc181626a5
1478a1b93243c
153c5572b1a39
hex201658e5706

2205022050054 has 96 divisors (see below), whose sum is σ = 4946157216000. Its totient is φ = 709395941952.

The previous prime is 2205022050053. The next prime is 2205022050059. The reversal of 2205022050054 is 4500502205022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205022050053) 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, 116541207 + ... + 116560125.

It is an arithmetic number, because the mean of its divisors is an integer number (51522471000).

Almost surely, 22205022050054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205022050054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473078608000).

2205022050054 is an abundant number, since it is smaller than the sum of its proper divisors (2741135165946).

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

2205022050054 is a wasteful number, since it uses less digits than its factorization.

2205022050054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20362 (or 20359 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

Adding to 2205022050054 its reverse (4500502205022), we get a palindrome (6705524255076).

The spelling of 2205022050054 in words is "two trillion, two hundred five billion, twenty-two million, fifty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 37 74 111 139 222 278 333 417 666 834 1251 1259 2502 2518 3777 5143 7554 10286 11331 15429 18919 22662 30858 37838 46287 46583 56757 92574 93166 113514 139749 170271 175001 279498 340542 350002 419247 525003 700003 838494 1050006 1400006 1575009 2100009 2629741 3150018 4200018 5259482 6300027 6475037 7889223 12600054 12950074 15778446 19425111 23667669 23819021 38850222 47335338 47638042 58275333 71457063 97300417 116550666 142914126 194600834 214371189 291901251 428742378 583802502 875703753 881303777 1751407506 1762607554 2643911331 3310843919 5287822662 6621687838 7931733993 9932531757 15863467986 19865063514 29797595271 59595190542 122501225003 245002450006 367503675009 735007350018 1102511025027 2205022050054