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216645345 = 32575911657
BaseRepresentation
bin11001110100110…
…11111011100001
3120002122201112200
430322123323201
5420430122340
633255243413
75240312040
oct1472337341
9502581480
10216645345
11101321944
1260679569
1335b64817
1420ab6557
1514046330
hexce9bee1

216645345 has 48 divisors (see below), whose sum is σ = 436475520. Its totient is φ = 97350912.

The previous prime is 216645307. The next prime is 216645409. The reversal of 216645345 is 543546612.

216645345 is a `hidden beast` number, since 2 + 1 + 6 + 645 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 216645345 - 218 = 216383201 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12757 + ... + 24413.

It is an arithmetic number, because the mean of its divisors is an integer number (9093240).

Almost surely, 2216645345 is an apocalyptic number.

It is an amenable number.

216645345 is an abundant number, since it is smaller than the sum of its proper divisors (219830175).

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

216645345 is a wasteful number, since it uses less digits than its factorization.

216645345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11734 (or 11731 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 216645345 is about 14718.8771650558. The cubic root of 216645345 is about 600.5969475591.

The spelling of 216645345 in words is "two hundred sixteen million, six hundred forty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 531 885 1239 2065 2655 3717 6195 11657 18585 34971 58285 81599 104913 174855 244797 407995 524565 687763 734391 1223985 2063289 3438815 3671955 4814341 6189867 10316445 14443023 24071705 30949335 43329069 72215115 216645345