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12225360 = 2435719383
BaseRepresentation
bin101110101000…
…101101010000
3212000010001010
4232220231100
511112202420
61114010520
7205625310
oct56505520
925003033
1012225360
1169a0104
124116a40
1326c0754
1418a3440
1511174e0
hexba8b50

12225360 has 160 divisors (see below), whose sum is σ = 45711360. Its totient is φ = 2640384.

The previous prime is 12225347. The next prime is 12225361. The reversal of 12225360 is 6352221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31729 + ... + 32111.

It is an arithmetic number, because the mean of its divisors is an integer number (285696).

Almost surely, 212225360 is an apocalyptic number.

12225360 is a gapful number since it is divisible by the number (10) 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 12225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855680).

12225360 is an abundant number, since it is smaller than the sum of its proper divisors (33486000).

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

12225360 is a wasteful number, since it uses less digits than its factorization.

12225360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12225360 is about 3496.4782281604. The cubic root of 12225360 is about 230.3671514705.

Adding to 12225360 its reverse (6352221), we get a palindrome (18577581).

The spelling of 12225360 in words is "twelve million, two hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 383 399 420 456 532 560 570 665 760 766 798 840 912 1064 1140 1149 1330 1520 1532 1596 1680 1915 1995 2128 2280 2298 2660 2681 3064 3192 3830 3990 4560 4596 5320 5362 5745 6128 6384 7277 7660 7980 8043 9192 10640 10724 11490 13405 14554 15320 15960 16086 18384 21448 21831 22980 26810 29108 30640 31920 32172 36385 40215 42896 43662 45960 50939 53620 58216 64344 72770 80430 87324 91920 101878 107240 109155 116432 128688 145540 152817 160860 174648 203756 214480 218310 254695 291080 305634 321720 349296 407512 436620 509390 582160 611268 643440 764085 815024 873240 1018780 1222536 1528170 1746480 2037560 2445072 3056340 4075120 6112680 12225360