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10300220 = 2257294359
BaseRepresentation
bin100111010010…
…101100111100
3201101022020122
4213102230330
510114101340
61004434112
7153356540
oct47225474
921338218
1010300220
1158a5787
123548938
132198408
141521a20
15d86db5
hex9d2b3c

10300220 has 96 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 3273984.

The previous prime is 10300219. The next prime is 10300243. The reversal of 10300220 is 2200301.

It is a junction number, because it is equal to n+sod(n) for n = 10300198 and 10300207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174551 + ... + 174609.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 210300220 is an apocalyptic number.

10300220 is a gapful number since it is divisible by the number (10) 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 10300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

10300220 is an abundant number, since it is smaller than the sum of its proper divisors (16310980).

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

10300220 is a wasteful number, since it uses less digits than its factorization.

10300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10300220 is about 3209.3955817256. The cubic root of 10300220 is about 217.5782604705.

Adding to 10300220 its reverse (2200301), we get a palindrome (12500521).

The spelling of 10300220 in words is "ten million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 43 58 59 70 86 116 118 140 145 172 203 215 236 290 295 301 406 413 430 580 590 602 812 826 860 1015 1180 1204 1247 1505 1652 1711 2030 2065 2494 2537 3010 3422 4060 4130 4988 5074 6020 6235 6844 8260 8555 8729 10148 11977 12470 12685 17110 17458 17759 23954 24940 25370 34220 34916 35518 43645 47908 50740 59885 71036 73573 87290 88795 119770 147146 174580 177590 239540 294292 355180 367865 515011 735730 1030022 1471460 2060044 2575055 5150110 10300220