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13225212 = 223271113367
BaseRepresentation
bin110010011100…
…110011111100
3220212220120200
4302130303330
511341201322
61151243500
7220261320
oct62346374
926786520
1013225212
117513330
124519590
132980890
141a83980
1512638ac
hexc9ccfc

13225212 has 144 divisors (see below), whose sum is σ = 45007872. Its totient is φ = 3162240.

The previous prime is 13225193. The next prime is 13225213. The reversal of 13225212 is 21252231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13225213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35853 + ... + 36219.

Almost surely, 213225212 is an apocalyptic number.

13225212 is a gapful number since it is divisible by the number (12) 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 13225212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22503936).

13225212 is an abundant number, since it is smaller than the sum of its proper divisors (31782660).

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

13225212 is a wasteful number, since it uses less digits than its factorization.

13225212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 403 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 13225212 is about 3636.6484570274. The cubic root of 13225212 is about 236.4835198376.

Adding to 13225212 its reverse (21252231), we get a palindrome (34477443).

The spelling of 13225212 in words is "thirteen million, two hundred twenty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 367 396 429 462 468 546 572 693 734 819 858 924 1001 1092 1101 1287 1386 1468 1638 1716 2002 2202 2569 2574 2772 3003 3276 3303 4004 4037 4404 4771 5138 5148 6006 6606 7707 8074 9009 9542 10276 12012 12111 13212 14313 15414 16148 18018 19084 23121 24222 28259 28626 30828 33397 36036 36333 42939 46242 48444 52481 56518 57252 66794 72666 84777 85878 92484 100191 104962 113036 133588 145332 157443 169554 171756 200382 209924 254331 300573 314886 339108 367367 400764 472329 508662 601146 629772 734734 944658 1017324 1102101 1202292 1469468 1889316 2204202 3306303 4408404 6612606 13225212