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12225780 = 22325731313
BaseRepresentation
bin101110101000…
…110011110100
3212000010121200
4232220303310
511112211110
61114012500
7205626450
oct56506364
925003550
1012225780
1169a0456
124117130
1326c09b8
1418a3660
1511176c0
hexba8cf4

12225780 has 144 divisors (see below), whose sum is σ = 43889664. Its totient is φ = 2695680.

The previous prime is 12225779. The next prime is 12225823. The reversal of 12225780 is 8752221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38904 + ... + 39216.

Almost surely, 212225780 is an apocalyptic number.

12225780 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 12225780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21944832).

12225780 is an abundant number, since it is smaller than the sum of its proper divisors (31663884).

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

12225780 is a wasteful number, since it uses less digits than its factorization.

12225780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12225780 is about 3496.5382880787. The cubic root of 12225780 is about 230.3697895140.

The spelling of 12225780 in words is "twelve million, two hundred twenty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 313 315 372 420 434 465 558 620 626 630 651 868 930 939 1085 1116 1252 1260 1302 1395 1565 1860 1878 1953 2170 2191 2604 2790 2817 3130 3255 3756 3906 4340 4382 4695 5580 5634 6260 6510 6573 7812 8764 9390 9703 9765 10955 11268 13020 13146 14085 18780 19406 19530 19719 21910 26292 28170 29109 32865 38812 39060 39438 43820 48515 56340 58218 65730 67921 78876 87327 97030 98595 116436 131460 135842 145545 174654 194060 197190 203763 271684 291090 339605 349308 394380 407526 436635 582180 611289 679210 815052 873270 1018815 1222578 1358420 1746540 2037630 2445156 3056445 4075260 6112890 12225780