Search a number
-
+
201214112 = 2511619371
BaseRepresentation
bin10111111111001…
…00100010100000
3112000121201212112
423333210202200
5403002322422
631544414452
74662202031
oct1377444240
9460551775
10201214112
11a3642160
1257477428
13328c0b08
141ca1aa88
15129e8ee2
hexbfe48a0

201214112 has 48 divisors (see below), whose sum is σ = 439284384. Its totient is φ = 89952000.

The previous prime is 201214099. The next prime is 201214133. The reversal of 201214112 is 211412102.

It is a happy number.

201214112 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 7 ways as a sum of consecutive naturals, for example, 16787 + ... + 26157.

It is an arithmetic number, because the mean of its divisors is an integer number (9151758).

Almost surely, 2201214112 is an apocalyptic number.

201214112 is a gapful number since it is divisible by the number (22) 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 201214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219642192).

201214112 is an abundant number, since it is smaller than the sum of its proper divisors (238070272).

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

201214112 is a wasteful number, since it uses less digits than its factorization.

201214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 201214112 is about 14184.9960169187. The cubic root of 201214112 is about 585.9845228045.

Adding to 201214112 its reverse (211412102), we get a palindrome (412626214).

The spelling of 201214112 in words is "two hundred one million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5368 9371 10736 18742 21472 37484 74968 103081 149936 206162 299872 412324 571631 824648 1143262 1649296 2286524 3298592 4573048 6287941 9146096 12575882 18292192 25151764 50303528 100607056 201214112