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216664890 = 235133117921
BaseRepresentation
bin11001110101000…
…00101100111010
3120002200201100120
430322200230322
5420431234030
633255514110
75240423031
oct1472405472
9502621316
10216664890
111013355a2
1260688936
1335b706a0
1420abd718
151404c010
hexcea0b3a

216664890 has 64 divisors (see below), whose sum is σ = 578092032. Its totient is φ = 51609600.

The previous prime is 216664879. The next prime is 216664909. The reversal of 216664890 is 98466612.

216664890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130 + ... + 21050.

It is an arithmetic number, because the mean of its divisors is an integer number (9032688).

Almost surely, 2216664890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216664890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289046016).

216664890 is an abundant number, since it is smaller than the sum of its proper divisors (361427142).

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

216664890 is a wasteful number, since it uses less digits than its factorization.

216664890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17975.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 216664890 is about 14719.5410933901. The cubic root of 216664890 is about 600.6150082815.

The spelling of 216664890 in words is "two hundred sixteen million, six hundred sixty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090 17921 35842 53763 89605 107526 179210 232973 268815 465946 537630 555551 698919 1111102 1164865 1397838 1666653 2329730 2777755 3333306 3494595 5555510 6989190 7222163 8333265 14444326 16666530 21666489 36110815 43332978 72221630 108332445 216664890