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221020203312200 = 23525478831228773
BaseRepresentation
bin110010010000010001000110…
…101101001110010001001000
31001222120022202222121120212102
4302100101012231032101020
5212432143334021442300
62102023140225132532
764361116451403335
oct6220210655162110
91058508688546772
10221020203312200
116447316186a806
1220957242a8a148
13964316738cb46
143c816135b598c
151a843991b80d5
hexc90446b4e448

221020203312200 has 96 divisors (see below), whose sum is σ = 514871956085760. Its totient is φ = 88236079276800.

The previous prime is 221020203312197. The next prime is 221020203312211. The reversal of 221020203312200 is 2213302020122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 965997014 + ... + 966225786.

It is an arithmetic number, because the mean of its divisors is an integer number (5363249542560).

Almost surely, 2221020203312200 is an apocalyptic number.

221020203312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020203312200 is an abundant number, since it is smaller than the sum of its proper divisors (293851752773560).

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

221020203312200 is a wasteful number, since it uses less digits than its factorization.

221020203312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238167 (or 238158 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221020203312200 its reverse (2213302020122), we get a palindrome (223233505332322).

The spelling of 221020203312200 in words is "two hundred twenty-one trillion, twenty billion, two hundred three million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 547 1094 2188 2735 4376 5470 8831 10940 13675 17662 21880 27350 35324 44155 54700 70648 88310 109400 176620 220775 228773 353240 441550 457546 883100 915092 1143865 1766200 1830184 2287730 4575460 4830557 5719325 9150920 9661114 11438650 19322228 22877300 24152785 38644456 45754600 48305570 96611140 120763925 125138831 193222280 241527850 250277662 483055700 500555324 625694155 966111400 1001110648 1251388310 2020294363 2502776620 3128470775 4040588726 5005553240 6256941550 8081177452 10101471815 12513883100 16162354904 20202943630 25027766200 40405887260 50507359075 80811774520 101014718150 202029436300 404058872600 1105101016561 2210202033122 4420404066244 5525505082805 8840808132488 11051010165610 22102020331220 27627525414025 44204040662440 55255050828050 110510101656100 221020203312200