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216973845 = 325114110691
BaseRepresentation
bin11001110111011…
…00001000010101
3120010021102011100
430323230020111
5421021130340
633310300313
75243150544
oct1473541025
9503242140
10216973845
11101526730
12607b7699
1335c4b1ba
1420b6015b
15140ad830
hexceec215

216973845 has 48 divisors (see below), whose sum is σ = 420323904. Its totient is φ = 102624000.

The previous prime is 216973837. The next prime is 216973847. The reversal of 216973845 is 548379612.

216973845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216973845 - 23 = 216973837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 216973845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216973847) 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, 14950 + ... + 25640.

It is an arithmetic number, because the mean of its divisors is an integer number (8756748).

Almost surely, 2216973845 is an apocalyptic number.

It is an amenable number.

216973845 is a deficient number, since it is larger than the sum of its proper divisors (203350059).

216973845 is a wasteful number, since it uses less digits than its factorization.

216973845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10754 (or 10751 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 216973845 is about 14730.0320773581. The cubic root of 216973845 is about 600.9003565876.

The spelling of 216973845 in words is "two hundred sixteen million, nine hundred seventy-three thousand, eight hundred forty-five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 123 165 205 369 451 495 615 1353 1845 2255 4059 6765 10691 20295 32073 53455 96219 117601 160365 352803 438331 481095 588005 1058409 1314993 1764015 2191655 3944979 4821641 5292045 6574965 14464923 19724895 24108205 43394769 72324615 216973845