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2210020102220 = 225767827284897
BaseRepresentation
bin100000001010001111011…
…101101001000001001100
321211021110002201110122112
4200022033131221001030
5242202110121232340
64411134052403152
7315445233630050
oct40121735510114
97737402643575
102210020102220
1178229a8070a7
122b83973164b8
1313053378b7c8
1478d73647c60
153c74ae81065
hex2028f76904c

2210020102220 has 96 divisors (see below), whose sum is σ = 5389741389312. Its totient is φ = 745506736128.

The previous prime is 2210020102219. The next prime is 2210020102223. The reversal of 2210020102220 is 222010200122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2210020102195 and 2210020102204.

It is not an unprimeable number, because it can be changed into a prime (2210020102223) by changing a digit.

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, 7614812 + ... + 7899708.

It is an arithmetic number, because the mean of its divisors is an integer number (56143139472).

Almost surely, 22210020102220 is an apocalyptic number.

2210020102220 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 2210020102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694870694656).

2210020102220 is an abundant number, since it is smaller than the sum of its proper divisors (3179721287092).

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

2210020102220 is a wasteful number, since it uses less digits than its factorization.

2210020102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285807 (or 285805 counting only the distinct ones).

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

Adding to 2210020102220 its reverse (222010200122), we get a palindrome (2432030302342).

The spelling of 2210020102220 in words is "two trillion, two hundred ten billion, twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 827 938 1340 1654 1876 2345 3308 4135 4690 5789 8270 9380 11578 16540 23156 28945 55409 57890 110818 115780 221636 277045 284897 387863 554090 569794 775726 1108180 1139588 1424485 1551452 1939315 1994279 2848970 3878630 3988558 5697940 7757260 7977116 9971395 19088099 19942790 38176198 39885580 76352396 95440495 133616693 190880990 235609819 267233386 381761980 471219638 534466772 668083465 942439276 1178049095 1336166930 1649268733 2356098190 2672333860 3298537466 4712196380 6597074932 8246343665 15785857873 16492687330 31571715746 32985374660 63143431492 78929289365 110501005111 157858578730 221002010222 315717157460 442004020444 552505025555 1105010051110 2210020102220