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216084141 = 32713439601
BaseRepresentation
bin11001110000100…
…10111010101101
3120001121012201100
430320102322231
5420304143031
633235233313
75232453630
oct1470227255
9501535640
10216084141
11100a79239
1260448839
13359c9250
14209abc17
1513e84de6
hexce12ead

216084141 has 48 divisors (see below), whose sum is σ = 385665280. Its totient is φ = 113529600.

The previous prime is 216084119. The next prime is 216084157. The reversal of 216084141 is 141480612.

It is a happy number.

It is not a de Polignac number, because 216084141 - 27 = 216084013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216084041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359241 + ... + 359841.

Almost surely, 2216084141 is an apocalyptic number.

216084141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

216084141 is a deficient number, since it is larger than the sum of its proper divisors (169581139).

216084141 is a wasteful number, since it uses less digits than its factorization.

216084141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 216084141 is about 14699.8007129349. The cubic root of 216084141 is about 600.0778982193.

It can be divided in two parts, 216084 and 141, that added together give a square (216225 = 4652).

The spelling of 216084141 in words is "two hundred sixteen million, eighty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 439 601 819 1317 1803 3073 3951 4207 5409 5707 7813 9219 12621 17121 23439 27657 37863 39949 51363 54691 70317 119847 164073 263839 359541 492219 791517 1846873 2374551 3429907 5540619 10289721 16621857 24009349 30869163 72028047 216084141