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217452340 = 22571981749
BaseRepresentation
bin11001111011000…
…00111100110100
3120011011201112101
430331200330310
5421131433330
633324431444
75250212560
oct1475407464
9504151471
10217452340
11101823186
12609a8584
1336087c31
1420c466a0
15141554ca
hexcf60f34

217452340 has 48 divisors (see below), whose sum is σ = 549360000. Its totient is φ = 70630272.

The previous prime is 217452329. The next prime is 217452349. The reversal of 217452340 is 43254712.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 217452299 and 217452308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217452349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38215 + ... + 43534.

It is an arithmetic number, because the mean of its divisors is an integer number (11445000).

Almost surely, 2217452340 is an apocalyptic number.

217452340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217452340 is an abundant number, since it is smaller than the sum of its proper divisors (331907660).

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

217452340 is a wasteful number, since it uses less digits than its factorization.

217452340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81784 (or 81782 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 217452340 is about 14746.2652898963. The cubic root of 217452340 is about 601.3417565051.

The spelling of 217452340 in words is "two hundred seventeen million, four hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 81749 163498 326996 408745 572243 817490 1144486 1553231 1634980 2288972 2861215 3106462 5722430 6212924 7766155 10872617 11444860 15532310 21745234 31064620 43490468 54363085 108726170 217452340