Search a number
-
+
221002222012220 = 2251119489531080043
BaseRepresentation
bin110010010000000000010110…
…111100000000011100111100
31001222111121100211121220110002
4302100000112330000130330
5212431400022313342340
62102011004051333432
764356612041024255
oct6220002674003474
91058447324556402
10221002222012220
116446657489aa10
1220953864bb1278
13964155cca907c
143c807c9455b2c
151a83b957a5715
hexc90016f0073c

221002222012220 has 96 divisors (see below), whose sum is σ = 532954537678080. Its totient is φ = 76133111016960.

The previous prime is 221002222012147. The next prime is 221002222012241. The reversal of 221002222012220 is 22210222200122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221002222012192 and 221002222012201.

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, 204083519 + ... + 205163561.

It is an arithmetic number, because the mean of its divisors is an integer number (5551609767480).

Almost surely, 2221002222012220 is an apocalyptic number.

221002222012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002222012220 is an abundant number, since it is smaller than the sum of its proper divisors (311952315665860).

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

221002222012220 is a wasteful number, since it uses less digits than its factorization.

221002222012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129035 (or 1129033 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 221002222012220 its reverse (22210222200122), we get a palindrome (243212444212342).

It can be divided in two parts, 2210022 and 22012220, that added together give a palindrome (24222242).

The spelling of 221002222012220 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 48953 97906 195812 244765 489530 538483 930107 979060 1076966 1080043 1860214 2153932 2160086 2692415 3720428 4320172 4650535 5384830 5400215 9301070 10231177 10769660 10800430 11880473 18602140 20462354 20520817 21600860 23760946 40924708 41041634 47521892 51155885 59402365 82083268 102311770 102604085 118804730 204623540 205208170 225728987 237609460 410416340 451457974 902915948 1128644935 2257289870 4514579740 52871344979 105742689958 211485379916 264356724895 528713449790 581584794769 1004555554601 1057426899580 1163169589538 2009111109202 2326339179076 2907923973845 4018222218404 5022777773005 5815847947690 10045555546010 11050111100611 11631695895380 20091111092020 22100222201222 44200444402444 55250555503055 110501111006110 221002222012220