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217342540 = 22524474441
BaseRepresentation
bin11001111010001…
…10001001001100
3120010222010220201
430331012021030
5421114430130
633322223244
75246244502
oct1475061114
9503863821
10217342540
11101758738
1260954b24
1336049c6c
1420c18672
1514132bca
hexcf4624c

217342540 has 24 divisors (see below), whose sum is σ = 456708672. Its totient is φ = 86881920.

The previous prime is 217342507. The next prime is 217342547. The reversal of 217342540 is 45243712.

It is a junction number, because it is equal to n+sod(n) for n = 217342499 and 217342508.

It is not an unprimeable number, because it can be changed into a prime (217342547) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46720 + ... + 51160.

It is an arithmetic number, because the mean of its divisors is an integer number (19029528).

Almost surely, 2217342540 is an apocalyptic number.

217342540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217342540 is an abundant number, since it is smaller than the sum of its proper divisors (239366132).

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

217342540 is a wasteful number, since it uses less digits than its factorization.

217342540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6895 counting only the distinct ones).

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

The square root of 217342540 is about 14742.5418432508. The cubic root of 217342540 is about 601.2405259838.

The spelling of 217342540 in words is "two hundred seventeen million, three hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 2447 4441 4894 8882 9788 12235 17764 22205 24470 44410 48940 88820 10867127 21734254 43468508 54335635 108671270 217342540