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222221001220 = 22541868931189
BaseRepresentation
bin1100111011110101100…
…1110110001000000100
3210020120222000111122121
43032331121312020010
512120102034014340
6250030435135324
722024562226061
oct3167531661004
9706528014577
10222221001220
1186274a64319
1237099444544
1317c55b9c4ca
14aa8134dc68
155ba91a994a
hex33bd676204

222221001220 has 48 divisors (see below), whose sum is σ = 478116500400. Its totient is φ = 86707630080.

The previous prime is 222221001193. The next prime is 222221001367. The reversal of 222221001220 is 22100122222.

222221001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 28450243584 + 193770757636 = 168672^2 + 440194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222221001194 and 222221001203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7109386 + ... + 7140574.

It is an arithmetic number, because the mean of its divisors is an integer number (9960760425).

Almost surely, 2222221001220 is an apocalyptic number.

222221001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222221001220 is an abundant number, since it is smaller than the sum of its proper divisors (255895499180).

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

222221001220 is a wasteful number, since it uses less digits than its factorization.

222221001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39928 (or 39926 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222221001220 its reverse (22100122222), we get a palindrome (244321123442).

The spelling of 222221001220 in words is "two hundred twenty-two billion, two hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 8689 17378 31189 34756 43445 62378 86890 124756 155945 173780 311890 356249 623780 712498 1278749 1424996 1781245 2557498 3562490 5114996 6393745 7124980 12787490 25574980 271001221 542002442 1084004884 1355006105 2710012210 5420024420 11111050061 22222100122 44444200244 55555250305 111110500610 222221001220