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217412328 = 23371294121
BaseRepresentation
bin11001111010101…
…11001011101000
3120011002200122110
430331113023220
5421124143303
633323522320
75246655120
oct1475271350
9504080573
10217412328
111017a6111
12609893a0
1336072963
1420c35c80
1514148703
hexcf572e8

217412328 has 32 divisors (see below), whose sum is σ = 621178560. Its totient is φ = 62117760.

The previous prime is 217412311. The next prime is 217412341. The reversal of 217412328 is 823214712.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 217412295 and 217412304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646893 + ... + 647228.

It is an arithmetic number, because the mean of its divisors is an integer number (19411830).

Almost surely, 2217412328 is an apocalyptic number.

217412328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

217412328 is an abundant number, since it is smaller than the sum of its proper divisors (403766232).

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

217412328 is a wasteful number, since it uses less digits than its factorization.

217412328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294137 (or 1294133 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 217412328 is about 14744.9085449860. The cubic root of 217412328 is about 601.3048712390.

The spelling of 217412328 in words is "two hundred seventeen million, four hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1294121 2588242 3882363 5176484 7764726 9058847 10352968 15529452 18117694 27176541 31058904 36235388 54353082 72470776 108706164 217412328