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212350200 = 23352353917
BaseRepresentation
bin11001010100000…
…11010011111000
3112210120111201020
430222003103320
5413330201300
633023222440
75155642536
oct1452032370
9483514636
10212350200
11a9958937
125b147a20
1334cbc80a
14202b9156
15139988a0
hexca834f8

212350200 has 48 divisors (see below), whose sum is σ = 658287480. Its totient is φ = 56626560.

The previous prime is 212350147. The next prime is 212350207. The reversal of 212350200 is 2053212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212350200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212350207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 176359 + ... + 177558.

Almost surely, 2212350200 is an apocalyptic number.

212350200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212350200 is an abundant number, since it is smaller than the sum of its proper divisors (445937280).

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

212350200 is a wasteful number, since it uses less digits than its factorization.

212350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353936 (or 353927 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 212350200 is about 14572.2407336689. The cubic root of 212350200 is about 596.6013404270.

The spelling of 212350200 in words is "two hundred twelve million, three hundred fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 353917 707834 1061751 1415668 1769585 2123502 2831336 3539170 4247004 5308755 7078340 8494008 8847925 10617510 14156680 17695850 21235020 26543775 35391700 42470040 53087550 70783400 106175100 212350200