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3220500 = 2235319113
BaseRepresentation
bin1100010010010000010100
320001121200210
430102100110
51311024000
6153005420
736242133
oct14222024
96047623
103220500
1118aa678
1210b3870
13889b2a
145db91a
15439350
hex312414

3220500 has 96 divisors (see below), whose sum is σ = 9959040. Its totient is φ = 806400.

The previous prime is 3220499. The next prime is 3220513. The reversal of 3220500 is 50223.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28444 + ... + 28556.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 23220500 is an apocalyptic number.

3220500 is a gapful number since it is divisible by the number (30) 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 3220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979520).

3220500 is an abundant number, since it is smaller than the sum of its proper divisors (6738540).

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

3220500 is a wasteful number, since it uses less digits than its factorization.

3220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 3220500 is about 1794.5751586378. The cubic root of 3220500 is about 147.6752680495.

Adding to 3220500 its reverse (50223), we get a palindrome (3270723).

The spelling of 3220500 in words is "three million, two hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 113 114 125 150 190 226 228 250 285 300 339 375 380 452 475 500 565 570 678 750 950 1130 1140 1356 1425 1500 1695 1900 2147 2260 2375 2825 2850 3390 4294 4750 5650 5700 6441 6780 7125 8475 8588 9500 10735 11300 12882 14125 14250 16950 21470 25764 28250 28500 32205 33900 42375 42940 53675 56500 64410 84750 107350 128820 161025 169500 214700 268375 322050 536750 644100 805125 1073500 1610250 3220500