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226217052 = 223223299421
BaseRepresentation
bin11010111101111…
…00110001011100
3120202200000110100
431132330301130
5430402421202
634240341100
75414545635
oct1536746134
9522600410
10226217052
1110676a246
1263914790
1337b36459
142208888c
1514cd741c
hexd7bcc5c

226217052 has 72 divisors (see below), whose sum is σ = 617329440. Its totient is φ = 69632640.

The previous prime is 226217051. The next prime is 226217071. The reversal of 226217052 is 250712622.

It is a super-3 number, since 3×2262170523 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226217051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19302 + ... + 28722.

It is an arithmetic number, because the mean of its divisors is an integer number (8574020).

Almost surely, 2226217052 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 226217052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308664720).

226217052 is an abundant number, since it is smaller than the sum of its proper divisors (391112388).

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

226217052 is a wasteful number, since it uses less digits than its factorization.

226217052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 226217052 is about 15040.5136880361. The cubic root of 226217052 is about 609.3148735311.

Adding to 226217052 its reverse (250712622), we get a palindrome (476929674).

The spelling of 226217052 in words is "two hundred twenty-six million, two hundred seventeen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1334 2001 2668 4002 6003 8004 9421 12006 18842 24012 28263 37684 56526 84789 113052 169578 216683 273209 339156 433366 546418 650049 819627 866732 1092836 1300098 1639254 1950147 2458881 2600196 3278508 3900294 4917762 6283807 7800588 9835524 12567614 18851421 25135228 37702842 56554263 75405684 113108526 226217052