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201313224 = 233271073733
BaseRepresentation
bin10111111111111…
…00101111001000
3112000210202211100
423333330233020
5403014010344
631550501400
74663064010
oct1377745710
9460722740
10201313224
11a36aa672
1257504860
1332926c68
141ca44c40
1512a18569
hexbffcbc8

201313224 has 96 divisors (see below), whose sum is σ = 629104320. Its totient is φ = 56965248.

The previous prime is 201313223. The next prime is 201313241. The reversal of 201313224 is 422313102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201313197 and 201313206.

It is not an unprimeable number, because it can be changed into a prime (201313223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52062 + ... + 55794.

It is an arithmetic number, because the mean of its divisors is an integer number (6553170).

Almost surely, 2201313224 is an apocalyptic number.

201313224 is a gapful number since it is divisible by the number (24) 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 201313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314552160).

201313224 is an abundant number, since it is smaller than the sum of its proper divisors (427791096).

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

201313224 is a wasteful number, since it uses less digits than its factorization.

201313224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 201313224 is about 14188.4891373254. The cubic root of 201313224 is about 586.0807197763.

Adding to 201313224 its reverse (422313102), we get a palindrome (623626326).

The spelling of 201313224 in words is "two hundred one million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 107 126 168 214 252 321 428 504 642 749 856 963 1284 1498 1926 2247 2568 2996 3733 3852 4494 5992 6741 7466 7704 8988 11199 13482 14932 17976 22398 26131 26964 29864 33597 44796 52262 53928 67194 78393 89592 104524 134388 156786 209048 235179 268776 313572 399431 470358 627144 798862 940716 1198293 1597724 1881432 2396586 2796017 3195448 3594879 4793172 5592034 7189758 8388051 9586344 11184068 14379516 16776102 22368136 25164153 28759032 33552204 50328306 67104408 100656612 201313224