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10230220 = 22572111373
BaseRepresentation
bin100111000001…
…100111001100
3201020202020001
4213001213030
510104331340
61003134044
7152645500
oct47014714
921222201
1010230220
115858130
123514324
1321725b0
141504300
15d7129a
hex9c19cc

10230220 has 144 divisors (see below), whose sum is σ = 29762208. Its totient is φ = 2903040.

The previous prime is 10230203. The next prime is 10230221. The reversal of 10230220 is 2203201.

It is a Harshad number since it is a multiple of its sum of digits (10).

10230220 is a Rhonda number in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 10230197 and 10230206.

It is not an unprimeable number, because it can be changed into a prime (10230221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140104 + ... + 140176.

It is an arithmetic number, because the mean of its divisors is an integer number (206682).

Almost surely, 210230220 is an apocalyptic number.

10230220 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 10230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881104).

10230220 is an abundant number, since it is smaller than the sum of its proper divisors (19531988).

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

10230220 is a wasteful number, since it uses less digits than its factorization.

10230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10230220 is about 3198.4715099560. The cubic root of 10230220 is about 217.0842544832.

Adding to 10230220 its reverse (2203201), we get a palindrome (12433421).

The spelling of 10230220 in words is "ten million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 73 77 91 98 110 130 140 143 146 154 182 196 220 245 260 286 292 308 364 365 385 455 490 511 539 572 637 715 730 770 803 910 949 980 1001 1022 1078 1274 1430 1460 1540 1606 1820 1898 2002 2044 2156 2548 2555 2695 2860 3185 3212 3577 3796 4004 4015 4745 5005 5110 5390 5621 6370 6643 7007 7154 8030 9490 10010 10220 10439 10780 11242 12740 13286 14014 14308 16060 17885 18980 20020 20878 22484 26572 28028 28105 33215 35035 35770 39347 41756 46501 52195 56210 66430 70070 71540 73073 78694 93002 104390 112420 132860 140140 146146 157388 186004 196735 208780 232505 292292 365365 393470 465010 511511 730730 786940 930020 1023022 1461460 2046044 2557555 5115110 10230220