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201216 = 293131
BaseRepresentation
bin110001001000000000
3101020000110
4301020000
522414331
64151320
71465431
oct611000
9336013
10201216
111281a4
1298540
1370782
1453488
153e946
hex31200

201216 has 40 divisors (see below), whose sum is σ = 540144. Its totient is φ = 66560.

The previous prime is 201211. The next prime is 201233. The reversal of 201216 is 612102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a nialpdrome in base 8 and base 12.

It is not an unprimeable number, because it can be changed into a prime (201211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1471 + ... + 1601.

2201216 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 201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270072).

201216 is an abundant number, since it is smaller than the sum of its proper divisors (338928).

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

201216 is an equidigital number, since it uses as much as digits as its factorization.

201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201216 is about 448.5710646040. The cubic root of 201216 is about 58.5986355571.

Adding to 201216 its reverse (612102), we get a palindrome (813318).

The spelling of 201216 in words is "two hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 768 786 1048 1536 1572 2096 3144 4192 6288 8384 12576 16768 25152 33536 50304 67072 100608 201216