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2200120124224 = 26112284106421
BaseRepresentation
bin100000000001000001011…
…000001110001101000000
321210022220011011110220211
4200001001120032031000
5242021321222433344
64402415441443504
7314645012331331
oct40010130161500
97708804143824
102200120124224
1177907a4a9100
122b6493940594
1312c616721b69
14786b48c0288
153c36bc7e334
hex2004160e340

2200120124224 has 42 divisors (see below), whose sum is σ = 4798841574002. Its totient is φ = 1000054598400.

The previous prime is 2200120124177. The next prime is 2200120124233. The reversal of 2200120124224 is 4224210210022.

It can be written as a sum of positive squares in only one way, i.e., 1612493625600 + 587626498624 = 1269840^2 + 766568^2 .

It is a super-2 number, since 2×22001201242242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2200120124195 and 2200120124204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142045467 + ... + 142060954.

Almost surely, 22200120124224 is an apocalyptic number.

It is an amenable number.

2200120124224 is an abundant number, since it is smaller than the sum of its proper divisors (2598721449778).

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

2200120124224 is a wasteful number, since it uses less digits than its factorization.

2200120124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284106455 (or 284106434 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 2200120124224 its reverse (4224210210022), we get a palindrome (6424330334246).

The spelling of 2200120124224 in words is "two trillion, two hundred billion, one hundred twenty million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 284106421 568212842 1136425684 2272851368 3125170631 4545702736 6250341262 9091405472 12500682524 18182810944 25001365048 34376876941 50002730096 68753753882 100005460192 137507507764 200010920384 275015015528 550030031056 1100060062112 2200120124224