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221001220220 = 2251131152321277
BaseRepresentation
bin1100110111010010110…
…0110000000001111100
3210010102221210012200112
43031310230300001330
512110102303021340
6245305423045152
721652421243204
oct3156454600174
9703387705615
10221001220220
11857a9477850
12369b8a407b8
1317ac02704c1
14a9a7351404
155b37063065
hex3374b3007c

221001220220 has 96 divisors (see below), whose sum is σ = 522993494016. Its totient is φ = 77716972800.

The previous prime is 221001220213. The next prime is 221001220259. The reversal of 221001220220 is 22022100122.

221001220220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221001220195 and 221001220204.

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, 10376222 + ... + 10397498.

It is an arithmetic number, because the mean of its divisors is an integer number (5447848896).

Almost surely, 2221001220220 is an apocalyptic number.

221001220220 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 221001220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261496747008).

221001220220 is an abundant number, since it is smaller than the sum of its proper divisors (301992273796).

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

221001220220 is a wasteful number, since it uses less digits than its factorization.

221001220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22851 (or 22849 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221001220220 its reverse (22022100122), we get a palindrome (243023320342).

The spelling of 221001220220 in words is "two hundred twenty-one billion, one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1523 1705 3046 3410 6092 6820 7615 15230 16753 21277 30460 33506 42554 47213 67012 83765 85108 94426 106385 167530 188852 212770 234047 236065 335060 425540 468094 472130 519343 659587 936188 944260 1038686 1170235 1319174 2077372 2340470 2596715 2638348 3297935 4680940 5193430 6595870 7255457 10386860 13191740 14510914 29021828 32404871 36277285 64809742 72554570 129619484 145109140 162024355 324048710 356453581 648097420 712907162 1004551001 1425814324 1782267905 2009102002 3564535810 4018204004 5022755005 7129071620 10045510010 11050061011 20091020020 22100122022 44200244044 55250305055 110500610110 221001220220