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214246500 = 223531310987
BaseRepresentation
bin11001100010100…
…10010001100100
3112221010211221120
430301102101210
5414321342000
633132013540
75211031236
oct1461222144
9487124846
10214246500
11aaa33626
125b9012b0
13355049a0
1420650256
1513c206a0
hexcc52464

214246500 has 96 divisors (see below), whose sum is σ = 671938176. Its totient is φ = 52732800.

The previous prime is 214246493. The next prime is 214246561. The reversal of 214246500 is 5642412.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14007 + ... + 24993.

It is an arithmetic number, because the mean of its divisors is an integer number (6999356).

Almost surely, 2214246500 is an apocalyptic number.

214246500 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 214246500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335969088).

214246500 is an abundant number, since it is smaller than the sum of its proper divisors (457691676).

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

214246500 is a wasteful number, since it uses less digits than its factorization.

214246500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 214246500 is about 14637.1616100937. The cubic root of 214246500 is about 598.3719754444.

Adding to 214246500 its reverse (5642412), we get a palindrome (219888912).

The spelling of 214246500 in words is "two hundred fourteen million, two hundred forty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 650 750 780 975 1300 1500 1625 1950 3250 3900 4875 6500 9750 10987 19500 21974 32961 43948 54935 65922 109870 131844 142831 164805 219740 274675 285662 329610 428493 549350 571324 659220 714155 824025 856986 1098700 1373375 1428310 1648050 1713972 2142465 2746750 2856620 3296100 3570775 4120125 4284930 5493500 7141550 8240250 8569860 10712325 14283100 16480500 17853875 21424650 35707750 42849300 53561625 71415500 107123250 214246500