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2220002000020 = 2257181761115123
BaseRepresentation
bin100000010011100010011…
…011100011110010010100
321212020012202102102020001
4200103202123203302110
5242333031003000040
64415504351221044
7316250501435650
oct40234233436224
97766182372201
102220002000020
11786552287712
122ba302217784
131314647ab5cc
147963d217a60
153cb3246559a
hex204e26e3c94

2220002000020 has 96 divisors (see below), whose sum is σ = 5364527890176. Its totient is φ = 755937100800.

The previous prime is 2220001999933. The next prime is 2220002000039. The reversal of 2220002000020 is 200002000222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2220001999970 and 2220002000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19226179 + ... + 19341301.

It is an arithmetic number, because the mean of its divisors is an integer number (55880498856).

Almost surely, 22220002000020 is an apocalyptic number.

2220002000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220002000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682263945088).

2220002000020 is an abundant number, since it is smaller than the sum of its proper divisors (3144525890156).

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

2220002000020 is a wasteful number, since it uses less digits than its factorization.

2220002000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116081 (or 116079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 2220002000020 its reverse (200002000222), we get a palindrome (2420004000242).

The spelling of 2220002000020 in words is "two trillion, two hundred twenty billion, two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 761 905 1267 1522 1810 2534 3044 3620 3805 5068 5327 6335 7610 10654 12670 15220 21308 25340 26635 53270 106540 115123 137741 230246 275482 460492 550964 575615 688705 805861 964187 1151230 1377410 1611722 1928374 2302460 2754820 3223444 3856748 4029305 4820935 8058610 9641870 16117220 19283740 20837263 41674526 83349052 87608603 104186315 145860841 175217206 208372630 291721682 350434412 416745260 438043015 583443364 613260221 729304205 876086030 1226520442 1458608410 1752172060 2453040884 2917216820 3066301105 6132602210 12265204420 15857157143 31714314286 63428628572 79285785715 111000100001 158571571430 222000200002 317143142860 444000400004 555000500005 1110001000010 2220002000020