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216747117 = 3319449941
BaseRepresentation
bin11001110101101…
…00110001101101
3120002211220011000
430322310301231
5420441401432
633301350513
75241214536
oct1472646155
9502756130
10216747117
11101391354
1260708439
1335b9bc42
1420b0168d
151406657c
hexceb4c6d

216747117 has 32 divisors (see below), whose sum is σ = 339120000. Its totient is φ = 136442880.

The previous prime is 216747067. The next prime is 216747119. The reversal of 216747117 is 711747612.

It is not a de Polignac number, because 216747117 - 27 = 216746989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216747119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229867 + ... + 230807.

It is an arithmetic number, because the mean of its divisors is an integer number (10597500).

Almost surely, 2216747117 is an apocalyptic number.

216747117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

216747117 is a deficient number, since it is larger than the sum of its proper divisors (122372883).

216747117 is a wasteful number, since it uses less digits than its factorization.

216747117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 216747117 is about 14722.3339521966. Note that the first 3 decimals coincide. The cubic root of 216747117 is about 600.6909789414.

It can be divided in two parts, 2167 and 47117, that added together give a square (49284 = 2222).

The spelling of 216747117 in words is "two hundred sixteen million, seven hundred forty-seven thousand, one hundred seventeen".

Divisors: 1 3 9 19 27 57 171 449 513 941 1347 2823 4041 8469 8531 12123 17879 25407 25593 53637 76779 160911 230337 422509 482733 1267527 3802581 8027671 11407743 24083013 72249039 216747117