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216865220 = 2251113191397
BaseRepresentation
bin11001110110100…
…01100111000100
3120010001220011012
430323101213010
5421004141340
633304101352
75242216055
oct1473214704
9503056135
10216865220
11101462060
1260764858
1335c10920
1420b3272c
151408b565
hexced19c4

216865220 has 96 divisors (see below), whose sum is σ = 539191296. Its totient is φ = 72230400.

The previous prime is 216865163. The next prime is 216865247. The reversal of 216865220 is 22568612.

216865220 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, 546062 + ... + 546458.

It is an arithmetic number, because the mean of its divisors is an integer number (5616576).

Almost surely, 2216865220 is an apocalyptic number.

216865220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216865220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269595648).

216865220 is an abundant number, since it is smaller than the sum of its proper divisors (322326076).

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

216865220 is a wasteful number, since it uses less digits than its factorization.

216865220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 216865220 is about 14726.3444207991. The cubic root of 216865220 is about 600.8000623226.

The spelling of 216865220 in words is "two hundred sixteen million, eight hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 191 220 260 286 382 397 572 715 764 794 955 1430 1588 1910 1985 2101 2483 2860 3820 3970 4202 4367 4966 5161 7940 8404 8734 9932 10322 10505 12415 17468 20644 21010 21835 24830 25805 27313 42020 43670 49660 51610 54626 56771 75827 87340 103220 109252 113542 136565 151654 227084 273130 283855 303308 379135 546260 567710 758270 834097 985751 1135420 1516540 1668194 1971502 3336388 3943004 4170485 4928755 8340970 9857510 10843261 16681940 19715020 21686522 43373044 54216305 108432610 216865220