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214601216 = 294110223
BaseRepresentation
bin11001100101010…
…00111000000000
3112221210212112012
430302220320000
5414414214331
633143352052
75214036344
oct1462507000
9487725465
10214601216
11100156085
125ba52628
13355ca28b
1420703624
1513c9082b
hexcca8e00

214601216 has 40 divisors (see below), whose sum is σ = 439284384. Its totient is φ = 104673280.

The previous prime is 214601203. The next prime is 214601269. The reversal of 214601216 is 612106412.

It is a junction number, because it is equal to n+sod(n) for n = 214601191 and 214601200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15881 + ... + 26103.

Almost surely, 2214601216 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 214601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219642192).

214601216 is an abundant number, since it is smaller than the sum of its proper divisors (224683168).

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

214601216 is an equidigital number, since it uses as much as digits as its factorization.

214601216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10282 (or 10266 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 214601216 is about 14649.2735656073. The cubic root of 214601216 is about 598.7020237505.

Adding to 214601216 its reverse (612106412), we get a palindrome (826707628).

The spelling of 214601216 in words is "two hundred fourteen million, six hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 2624 5248 10223 10496 20446 20992 40892 81784 163568 327136 419143 654272 838286 1308544 1676572 2617088 3353144 5234176 6706288 13412576 26825152 53650304 107300608 214601216