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217253080 = 23511244887
BaseRepresentation
bin11001111001100…
…00010011011000
3120010210121012101
430330300103120
5421104044310
633320253144
75245422622
oct1474602330
9503717171
10217253080
111016a7500
12609111b4
1336018325
1420bd3c12
151411643a
hexcf304d8

217253080 has 48 divisors (see below), whose sum is σ = 537309360. Its totient is φ = 78999360.

The previous prime is 217253077. The next prime is 217253111. The reversal of 217253080 is 80352712.

It is a congruent number.

It is an unprimeable number.

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, 17604 + ... + 27283.

It is an arithmetic number, because the mean of its divisors is an integer number (11193945).

Almost surely, 2217253080 is an apocalyptic number.

217253080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217253080 is an abundant number, since it is smaller than the sum of its proper divisors (320056280).

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

217253080 is a wasteful number, since it uses less digits than its factorization.

217253080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44920 (or 44905 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 217253080 is about 14739.5074544572. The cubic root of 217253080 is about 601.1580227934.

The spelling of 217253080 in words is "two hundred seventeen million, two hundred fifty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 44887 89774 179548 224435 359096 448870 493757 897740 987514 1795480 1975028 2468785 3950056 4937570 5431327 9875140 10862654 19750280 21725308 27156635 43450616 54313270 108626540 217253080