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211030200 = 233252117239
BaseRepresentation
bin11001001010000…
…01000010111000
3112201002110000100
430211001002320
5413010431300
632535035400
75141504253
oct1445010270
9481073010
10211030200
11a9137127
125a80bb60
1334949a54
142005409a
15137d7700
hexc9410b8

211030200 has 72 divisors (see below), whose sum is σ = 708715800. Its totient is φ = 56274240.

The previous prime is 211030189. The next prime is 211030219. The reversal of 211030200 is 2030112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56820 + ... + 60419.

It is an arithmetic number, because the mean of its divisors is an integer number (9843275).

Almost surely, 2211030200 is an apocalyptic number.

211030200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211030200 is an abundant number, since it is smaller than the sum of its proper divisors (497685600).

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

211030200 is a wasteful number, since it uses less digits than its factorization.

211030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117261 (or 117249 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 211030200 is about 14526.8785360104. The cubic root of 211030200 is about 595.3625829483.

Adding to 211030200 its reverse (2030112), we get a palindrome (213060312).

The spelling of 211030200 in words is "two hundred eleven million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 117239 234478 351717 468956 586195 703434 937912 1055151 1172390 1406868 1758585 2110302 2344780 2813736 2930975 3517170 4220604 4689560 5275755 5861950 7034340 8441208 8792925 10551510 11723900 14068680 17585850 21103020 23447800 26378775 35171700 42206040 52757550 70343400 105515100 211030200