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2221111200220 = 2251161331349957
BaseRepresentation
bin100000010100100100100…
…010110100100111011100
321212100002001120121211221
4200110210202310213130
5242342313431401340
64420210413223124
7316320130460533
oct40244442644734
97770061517757
102221111200220
11786a714061a0
122ba571791aa4
131315b0530aa3
147970666d31a
153cb99a1744a
hex205248b49dc

2221111200220 has 96 divisors (see below), whose sum is σ = 5173444253376. Its totient is φ = 794180505600.

The previous prime is 2221111200199. The next prime is 2221111200241. The reversal of 2221111200220 is 220021111222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2221111200199) and next prime (2221111200241).

It is a junction number, because it is equal to n+sod(n) for n = 2221111200194 and 2221111200203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44435482 + ... + 44485438.

It is an arithmetic number, because the mean of its divisors is an integer number (53890044306).

Almost surely, 22221111200220 is an apocalyptic number.

2221111200220 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 2221111200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586722126688).

2221111200220 is an abundant number, since it is smaller than the sum of its proper divisors (2952333053156).

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

2221111200220 is a wasteful number, since it uses less digits than its factorization.

2221111200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53351 (or 53349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2221111200220 its reverse (220021111222), we get a palindrome (2441132311442).

The spelling of 2221111200220 in words is "two trillion, two hundred twenty-one billion, one hundred eleven million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3313 3355 6626 6710 13252 13420 16565 33130 36443 49957 66260 72886 99914 145772 182215 199828 202093 249785 364430 404186 499570 549527 728860 808372 999140 1010465 1099054 2020930 2198108 2223023 2747635 3047377 4041860 4446046 5495270 6094754 8892092 10990540 11115115 12189508 15236885 22230230 30473770 33521147 44460460 60947540 67042294 134084588 165507541 167605735 331015082 335211470 662030164 670422940 827537705 1655075410 1820582951 3310150820 3641165902 7282331804 9102914755 10095960001 18205829510 20191920002 36411659020 40383840004 50479800005 100959600010 111055560011 201919200020 222111120022 444222240044 555277800055 1110555600110 2221111200220