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21220020220 = 2257372532089
BaseRepresentation
bin10011110000110011…
…111100111111111100
32000202212012201100211
4103300303330333330
5321424311121340
613425350402204
71350565124110
oct236063747774
960685181324
1021220020220
118aaa16a2a3
124142660364
13200238b7a9
141054347740
15842e0d5ea
hex4f0cfcffc

21220020220 has 144 divisors (see below), whose sum is σ = 53354790720. Its totient is φ = 6941915136.

The previous prime is 21220020187. The next prime is 21220020223. The reversal of 21220020220 is 2202002212.

It is a self number, because there is not a number n which added to its sum of digits gives 21220020220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220020223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10156936 + ... + 10159024.

It is an arithmetic number, because the mean of its divisors is an integer number (370519380).

Almost surely, 221220020220 is an apocalyptic number.

21220020220 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 21220020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26677395360).

21220020220 is an abundant number, since it is smaller than the sum of its proper divisors (32134770500).

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

21220020220 is a wasteful number, since it uses less digits than its factorization.

21220020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 21220020220 its reverse (2202002212), we get a palindrome (23422022432).

The spelling of 21220020220 in words is "twenty-one billion, two hundred twenty million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 53 70 74 106 140 148 185 212 259 265 370 371 518 530 740 742 1036 1060 1295 1369 1484 1855 1961 2089 2590 2738 3710 3922 4178 5180 5476 6845 7420 7844 8356 9583 9805 10445 13690 13727 14623 19166 19610 20890 27380 27454 29246 38332 39220 41780 47915 54908 58492 68635 72557 73115 77293 95830 110717 137270 145114 146230 154586 191660 221434 274540 290228 292460 309172 362785 386465 442868 507899 541051 553585 725570 772930 775019 1015798 1082102 1107170 1451140 1545860 1550038 2031596 2164204 2214340 2539495 2705255 2859841 3100076 3875095 4096529 5078990 5410510 5719682 7750190 8193058 10157980 10821020 11439364 14299205 15500380 16386116 20018887 20482645 28598410 28675703 40037774 40965290 57196820 57351406 80075548 81930580 100094435 114702812 143378515 151571573 200188870 286757030 303143146 400377740 573514060 606286292 757857865 1061001011 1515715730 2122002022 3031431460 4244004044 5305005055 10610010110 21220020220