Search a number
-
+
201222112 = 25713431607
BaseRepresentation
bin10111111111001…
…10011111100000
3112000122010211211
423333212133200
5403003101422
631544515504
74662234250
oct1377463740
9460563754
10201222112
11a3648173
125747bb94
13328c4650
141ca1d960
15129eb577
hexbfe67e0

201222112 has 96 divisors (see below), whose sum is σ = 499226112. Its totient is φ = 77704704.

The previous prime is 201222067. The next prime is 201222121. The reversal of 201222112 is 211222102.

Adding to 201222112 its reverse (211222102), we get a palindrome (412444214).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 201222092 and 201222101.

It is a congruent number.

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, 124413 + ... + 126019.

It is an arithmetic number, because the mean of its divisors is an integer number (5200272).

Almost surely, 2201222112 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 201222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249613056).

201222112 is an abundant number, since it is smaller than the sum of its proper divisors (298004000).

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

201222112 is a wasteful number, since it uses less digits than its factorization.

201222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 201222112 is about 14185.2780022106. The cubic root of 201222112 is about 585.9922886846.

The spelling of 201222112 in words is "two hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 56 86 91 104 112 172 182 208 224 301 344 364 416 559 602 688 728 1118 1204 1376 1456 1607 2236 2408 2912 3214 3913 4472 4816 6428 7826 8944 9632 11249 12856 15652 17888 20891 22498 25712 31304 41782 44996 51424 62608 69101 83564 89992 125216 138202 146237 167128 179984 276404 292474 334256 359968 483707 552808 584948 668512 898313 967414 1105616 1169896 1796626 1934828 2211232 2339792 3593252 3869656 4679584 6288191 7186504 7739312 12576382 14373008 15478624 25152764 28746016 50305528 100611056 201222112