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212415500 = 22531123511
BaseRepresentation
bin11001010100100…
…11010000001100
3112210200211021202
430222103100030
5413334244000
633024445032
75156334113
oct1452232014
9483624252
10212415500
11a99a2a00
125b179778
133501345b
14202d4c7a
15139acdd5
hexca9340c

212415500 has 72 divisors (see below), whose sum is σ = 510068832. Its totient is φ = 77220000.

The previous prime is 212415433. The next prime is 212415521. The reversal of 212415500 is 5514212.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 58745 + ... + 62255.

Almost surely, 2212415500 is an apocalyptic number.

212415500 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 212415500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255034416).

212415500 is an abundant number, since it is smaller than the sum of its proper divisors (297653332).

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

212415500 is a wasteful number, since it uses less digits than its factorization.

212415500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 212415500 is about 14574.4811228393. The cubic root of 212415500 is about 596.6624879635.

Adding to 212415500 its reverse (5514212), we get a palindrome (217929712).

The spelling of 212415500 in words is "two hundred twelve million, four hundred fifteen thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 484 500 550 605 1100 1210 1375 2420 2750 3025 3511 5500 6050 7022 12100 14044 15125 17555 30250 35110 38621 60500 70220 77242 87775 154484 175550 193105 351100 386210 424831 438875 772420 849662 877750 965525 1699324 1755500 1931050 2124155 3862100 4248310 4827625 8496620 9655250 10620775 19310500 21241550 42483100 53103875 106207750 212415500