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211145620 = 22574732089
BaseRepresentation
bin11001001010111…
…01001110010100
3112201022022100011
430211131032110
5413023124440
632541330004
75142464620
oct1445351624
9481268304
10211145620
11a9205914
125a866904
133498a44a
1420084180
151380b9ea
hexc95d394

211145620 has 48 divisors (see below), whose sum is σ = 517547520. Its totient is φ = 70850304.

The previous prime is 211145617. The next prime is 211145653. The reversal of 211145620 is 26541112.

211145620 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211145591 and 211145600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9465 + ... + 22624.

It is an arithmetic number, because the mean of its divisors is an integer number (10782240).

Almost surely, 2211145620 is an apocalyptic number.

211145620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211145620 is an abundant number, since it is smaller than the sum of its proper divisors (306401900).

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

211145620 is a wasteful number, since it uses less digits than its factorization.

211145620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32152 (or 32150 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 211145620 is about 14530.8506289205. The cubic root of 211145620 is about 595.4711048964.

Adding to 211145620 its reverse (26541112), we get a palindrome (237686732).

The spelling of 211145620 in words is "two hundred eleven million, one hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 32089 64178 128356 160445 224623 320890 449246 641780 898492 1123115 1508183 2246230 3016366 4492460 6032732 7540915 10557281 15081830 21114562 30163660 42229124 52786405 105572810 211145620