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2210221010220 = 223573582186689
BaseRepresentation
bin100000001010011011011…
…100000010110100101100
321211021222002202122121120
4200022123130002310230
5242203013034311340
64411210030500540
7315453223415466
oct40123334026454
97737862678546
102210221010220
1178239315a273
122b8432664750
131305662a3192
1478d921c5136
153c75d9194d0
hex2029b702d2c

2210221010220 has 96 divisors (see below), whose sum is σ = 6274544525760. Its totient is φ = 581211832320.

The previous prime is 2210221010213. The next prime is 2210221010237. The reversal of 2210221010220 is 220101220122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2210221010220.

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, 25452636 + ... + 25539324.

It is an arithmetic number, because the mean of its divisors is an integer number (65359838810).

Almost surely, 22210221010220 is an apocalyptic number.

2210221010220 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 2210221010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137272262880).

2210221010220 is an abundant number, since it is smaller than the sum of its proper divisors (4064323515540).

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

2210221010220 is a wasteful number, since it uses less digits than its factorization.

2210221010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92595 (or 92593 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2210221010220 its reverse (220101220122), we get a palindrome (2430322230342).

The spelling of 2210221010220 in words is "two trillion, two hundred ten billion, two hundred twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 5821 11642 17463 23284 29105 34926 58210 69852 86689 87315 116420 173378 174630 260067 346756 349260 424933 433445 520134 849866 866890 1040268 1274799 1300335 1699732 1733780 2124665 2549598 2600670 4249330 5099196 5201340 6328297 6373995 8498660 12656594 12747990 18984891 25313188 25495980 31641485 37969782 63282970 75939564 94924455 126565940 189848910 379697820 504616669 1009233338 1513850007 2018466676 2523083345 3027700014 5046166690 6055400028 7569250035 10092333380 15138500070 30277000140 36837016837 73674033674 110511050511 147348067348 184185084185 221022101022 368370168370 442044202044 552555252555 736740336740 1105110505110 2210221010220