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203223020 = 2257111310151
BaseRepresentation
bin11000001110011…
…10111111101100
3112011101210120112
430013032333230
5404011114040
632055435152
75015236640
oct1407167754
9464353515
10203223020
11a4794510
1258085ab8
1333145310
141cdc0c20
1512c94365
hexc1cefec

203223020 has 96 divisors (see below), whose sum is σ = 573060096. Its totient is φ = 58464000.

The previous prime is 203222977. The next prime is 203223023. The reversal of 203223020 is 20322302.

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 = 203222986 and 203223004.

It is not an unprimeable number, because it can be changed into a prime (203223023) 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, 14945 + ... + 25095.

It is an arithmetic number, because the mean of its divisors is an integer number (5969376).

Almost surely, 2203223020 is an apocalyptic number.

203223020 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 203223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286530048).

203223020 is an abundant number, since it is smaller than the sum of its proper divisors (369837076).

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

203223020 is a wasteful number, since it uses less digits than its factorization.

203223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10191 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 203223020 is about 14255.6311680683. The cubic root of 203223020 is about 587.9282117304.

Adding to 203223020 its reverse (20322302), we get a palindrome (223545322).

It can be divided in two parts, 2032 and 23020, that added together give a palindrome (25052).

The spelling of 203223020 in words is "two hundred three million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 10151 20020 20302 40604 50755 71057 101510 111661 131963 142114 203020 223322 263926 284228 355285 446644 527852 558305 659815 710570 781627 923741 1116610 1319630 1421140 1451593 1563254 1847482 2233220 2639260 2903186 3126508 3694964 3908135 4618705 5806372 7257965 7816270 9237410 10161151 14515930 15632540 18474820 20322302 29031860 40644604 50805755 101611510 203223020