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202202000220220 = 2257111310100000011
BaseRepresentation
bin101101111110011011010010…
…011001010110000000111100
3222111221022201001112022100021
4231332123102121112000330
5203000334144024021340
61554014152212141524
760406420030336450
oct5576332231260074
9874838631468307
10202202000220220
11594784288023a0
121a8181289078a4
1388a974a365a80
1437d08b40aa660
151859b10de8e4a
hexb7e6d265603c

202202000220220 has 96 divisors (see below), whose sum is σ = 570124800677376. Its totient is φ = 58176000057600.

The previous prime is 202202000220217. The next prime is 202202000220221. The reversal of 202202000220220 is 22022000202202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202202000220194 and 202202000220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202202000220221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5049979986 + ... + 5050020025.

It is an arithmetic number, because the mean of its divisors is an integer number (5938800007056).

Almost surely, 2202202000220220 is an apocalyptic number.

202202000220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202000220220 is an abundant number, since it is smaller than the sum of its proper divisors (367922800457156).

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

202202000220220 is a wasteful number, since it uses less digits than its factorization.

202202000220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100000051 (or 10100000049 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 202202000220220 its reverse (22022000202202), we get a palindrome (224224000422422).

The spelling of 202202000220220 in words is "two hundred two trillion, two hundred two billion, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 10100000011 20200000022 40400000044 50500000055 70700000077 101000000110 111100000121 131300000143 141400000154 202000000220 222200000242 262600000286 282800000308 353500000385 444400000484 525200000572 555500000605 656500000715 707000000770 777700000847 919100001001 1111000001210 1313000001430 1414000001540 1444300001573 1555400001694 1838200002002 2222000002420 2626000002860 2888600003146 3110800003388 3676400004004 3888500004235 4595500005005 5777200006292 7221500007865 7777000008470 9191000010010 10110100011011 14443000015730 15554000016940 18382000020020 20220200022022 28886000031460 40440400044044 50550500055055 101101000110110 202202000220220