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221144220 = 2232511671667
BaseRepresentation
bin11010010111001…
…10010010011100
3120102010021211200
431023212102130
5423103103340
633535515500
75323460223
oct1513462234
9512107750
10221144220
11103914a20
1262088b90
1336a7b48b
1421527cba
1514634330
hexd2e649c

221144220 has 144 divisors (see below), whose sum is σ = 743154048. Its totient is φ = 52778880.

The previous prime is 221144207. The next prime is 221144221. The reversal of 221144220 is 22441122.

221144220 is a `hidden beast` number, since 221 + 1 + 442 + 2 + 0 = 666.

221144220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221144193 and 221144202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221144221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131827 + ... + 133493.

It is an arithmetic number, because the mean of its divisors is an integer number (5160792).

Almost surely, 2221144220 is an apocalyptic number.

221144220 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 221144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371577024).

221144220 is an abundant number, since it is smaller than the sum of its proper divisors (522009828).

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

221144220 is a wasteful number, since it uses less digits than its factorization.

221144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 221144220 is about 14870.9185997369. The cubic root of 221144220 is about 604.7258462352.

Adding to 221144220 its reverse (22441122), we get a palindrome (243585342).

It can be divided in two parts, 221 and 144220, that added together give a palindrome (144441).

The spelling of 221144220 in words is "two hundred twenty-one million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1667 1980 2010 2211 2412 2948 3015 3334 3685 4020 4422 5001 6030 6633 6668 7370 8335 8844 10002 11055 12060 13266 14740 15003 16670 18337 20004 22110 25005 26532 30006 33165 33340 36674 44220 50010 55011 60012 66330 73348 75015 91685 100020 110022 111689 132660 150030 165033 183370 220044 223378 275055 300060 330066 335067 366740 446756 550110 558445 660132 670134 825165 1005201 1100220 1116890 1228579 1340268 1650330 1675335 2010402 2233780 2457158 3300660 3350670 3685737 4020804 4914316 5026005 6142895 6701340 7371474 10052010 11057211 12285790 14742948 18428685 20104020 22114422 24571580 36857370 44228844 55286055 73714740 110572110 221144220