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20300220 = 223554177
BaseRepresentation
bin100110101110…
…0000110111100
31102012100200000
41031130012330
520144101340
62003034300
7334356213
oct115340674
942170600
1020300220
1110505946
12696b990
134289c85
1429a607a
151baed30
hex135c1bc

20300220 has 72 divisors (see below), whose sum is σ = 63873264. Its totient is φ = 5412096.

The previous prime is 20300201. The next prime is 20300233. The reversal of 20300220 is 2200302.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 2772 + ... + 6948.

Almost surely, 220300220 is an apocalyptic number.

20300220 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 20300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31936632).

20300220 is an abundant number, since it is smaller than the sum of its proper divisors (43573044).

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

20300220 is a wasteful number, since it uses less digits than its factorization.

20300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20300220 is about 4505.5765446833. The cubic root of 20300220 is about 272.7932258676.

Adding to 20300220 its reverse (2200302), we get a palindrome (22500522).

The spelling of 20300220 in words is "twenty million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4177 4860 8354 12531 16708 20885 25062 37593 41770 50124 62655 75186 83540 112779 125310 150372 187965 225558 250620 338337 375930 451116 563895 676674 751860 1015011 1127790 1353348 1691685 2030022 2255580 3383370 4060044 5075055 6766740 10150110 20300220