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216768810 = 23597163457
BaseRepresentation
bin11001110101110…
…10000100101010
3120002212222220110
430322322010222
5420443100220
633302035150
75241335016
oct1472720452
9502788813
10216768810
111013a6685
1260718ab6
1335ba8a8b
1420b09546
151406cbe0
hexceba12a

216768810 has 64 divisors (see below), whose sum is σ = 529990272. Its totient is φ = 56733696.

The previous prime is 216768809. The next prime is 216768817. The reversal of 216768810 is 18867612.

216768810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2167688102 = 93977433977632200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216768817) 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, 474102 + ... + 474558.

It is an arithmetic number, because the mean of its divisors is an integer number (8281098).

Almost surely, 2216768810 is an apocalyptic number.

216768810 is an abundant number, since it is smaller than the sum of its proper divisors (313221462).

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

216768810 is a wasteful number, since it uses less digits than its factorization.

216768810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727.

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 216768810 is about 14723.0706715685. The cubic root of 216768810 is about 600.7110182001.

The spelling of 216768810 in words is "two hundred sixteen million, seven hundred sixty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 97 163 194 291 326 457 485 489 582 815 914 970 978 1371 1455 1630 2285 2445 2742 2910 4570 4890 6855 13710 15811 31622 44329 47433 74491 79055 88658 94866 132987 148982 158110 221645 223473 237165 265974 372455 443290 446946 474330 664935 744910 1117365 1329870 2234730 7225627 14451254 21676881 36128135 43353762 72256270 108384405 216768810