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201144216 = 233721359223
BaseRepresentation
bin10111111110100…
…11011110011000
3112000111011222210
423333103132120
5402443103331
631543115120
74661461200
oct1377233630
9460434883
10201144216
11a35a4699
1257442aa0
1332898060
141c9dd400
15129d3446
hexbfd3798

201144216 has 192 divisors, whose sum is σ = 643507200. Its totient is φ = 51916032.

The previous prime is 201144197. The next prime is 201144263. The reversal of 201144216 is 612441102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 201144192 and 201144201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901881 + ... + 902103.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2201144216 is an apocalyptic number.

201144216 is a gapful number since it is divisible by the number (26) 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 201144216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

201144216 is an abundant number, since it is smaller than the sum of its proper divisors (442362984).

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

201144216 is a wasteful number, since it uses less digits than its factorization.

201144216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 201144216 is about 14182.5320729410. The cubic root of 201144216 is about 585.9166635520.

Adding to 201144216 its reverse (612441102), we get a palindrome (813585318).

The spelling of 201144216 in words is "two hundred one million, one hundred forty-four thousand, two hundred sixteen".