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13227192 = 23331119293
BaseRepresentation
bin110010011101…
…010010111000
3220220000022000
4302131102320
511341232232
61151301000
7220300146
oct62352270
926800260
1013227192
117514870
12451a760
132981754
141a84596
15126427c
hexc9d4b8

13227192 has 128 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 3784320.

The previous prime is 13227143. The next prime is 13227197. The reversal of 13227192 is 29172231.

13227192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×132271923 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13227197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44998 + ... + 45290.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 213227192 is an apocalyptic number.

13227192 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 13227192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

13227192 is an abundant number, since it is smaller than the sum of its proper divisors (29108808).

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

13227192 is a wasteful number, since it uses less digits than its factorization.

13227192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13227192 is about 3636.9206755166. The cubic root of 13227192 is about 236.4953208835.

The spelling of 13227192 in words is "thirteen million, two hundred twenty-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 293 297 342 396 418 456 513 586 594 627 684 792 836 879 1026 1172 1188 1254 1368 1672 1758 1881 2052 2344 2376 2508 2637 3223 3516 3762 4104 5016 5274 5567 5643 6446 7032 7524 7911 9669 10548 11134 11286 12892 15048 15822 16701 19338 21096 22268 22572 25784 29007 31644 33402 38676 44536 45144 50103 58014 61237 63288 66804 77352 87021 100206 116028 122474 133608 150309 174042 183711 200412 232056 244948 300618 348084 367422 400824 489896 551133 601236 696168 734844 1102266 1202472 1469688 1653399 2204532 3306798 4409064 6613596 13227192