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220200221120020 = 22547715132758433
BaseRepresentation
bin110010000100010101011011…
…111101011001011000010100
31001212122221021000110022100221
4302010111123331121120110
5212330230023101320040
62100154330213044124
764244640516643261
oct6204253375313024
91055587230408327
10220200221120020
116418743123a2a9
1220844340626644
1395b3a3a63221b
143c53a67482268
151a6cda69c674a
hexc8455bf59614

220200221120020 has 48 divisors (see below), whose sum is σ = 472325253055488. Its totient is φ = 86193986278400.

The previous prime is 220200221120003. The next prime is 220200221120021. The reversal of 220200221120020 is 20021122002022.

It is a junction number, because it is equal to n+sod(n) for n = 220200221119976 and 220200221120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220200221120021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9657277 + ... + 23101156.

It is an arithmetic number, because the mean of its divisors is an integer number (9840109438656).

Almost surely, 2220200221120020 is an apocalyptic number.

220200221120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220200221120020 is an abundant number, since it is smaller than the sum of its proper divisors (252125031935468).

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

220200221120020 is a wasteful number, since it uses less digits than its factorization.

220200221120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32765640 (or 32765638 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220200221120020 its reverse (20021122002022), we get a palindrome (240221343122042).

The spelling of 220200221120020 in words is "two hundred twenty trillion, two hundred billion, two hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 7151 14302 28604 35755 71510 143020 336097 672194 1344388 1680485 3360970 6721940 32758433 65516866 131033732 163792165 327584330 655168660 1539646351 3079292702 6158585404 7698231755 15396463510 30792927020 234255554383 468511108766 937022217532 1171277771915 2342555543830 4685111087660 11010011056001 22020022112002 44040044224004 55050055280005 110100110560010 220200221120020