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216203312 = 241323431051
BaseRepresentation
bin11001110001100…
…00000000110000
3120001211021012002
430320300000300
5420322001222
633241553132
75233461233
oct1470600060
9501737162
10216203312
1110104a826
12604a57a8
1335a3b570
14209dd41a
1513eaa392
hexce30030

216203312 has 80 divisors (see below), whose sum is σ = 482135808. Its totient is φ = 93139200.

The previous prime is 216203303. The next prime is 216203347. The reversal of 216203312 is 213302612.

It is a happy number.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205187 + ... + 206237.

Almost surely, 2216203312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241067904).

216203312 is an abundant number, since it is smaller than the sum of its proper divisors (265932496).

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

216203312 is a wasteful number, since it uses less digits than its factorization.

216203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 216203312 is about 14703.8536445382. The cubic root of 216203312 is about 600.1881928181.

Adding to 216203312 its reverse (213302612), we get a palindrome (429505924).

The spelling of 216203312 in words is "two hundred sixteen million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 43 46 52 86 92 104 172 184 208 299 344 368 559 598 688 989 1051 1118 1196 1978 2102 2236 2392 3956 4204 4472 4784 7912 8408 8944 12857 13663 15824 16816 24173 25714 27326 45193 48346 51428 54652 90386 96692 102856 109304 180772 193384 205712 218608 314249 361544 386768 587509 628498 723088 1039439 1175018 1256996 2078878 2350036 2513992 4157756 4700072 5027984 8315512 9400144 13512707 16631024 27025414 54050828 108101656 216203312