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12225282440 = 2357223112699
BaseRepresentation
bin10110110001010111…
…10000000110001000
31011120000000200202112
423120223300012020
5200014133014230
65341034121452
7611645120600
oct133053600610
934500020675
1012225282440
115203942708
122452280288
1311caa31747
1483d901c00
154b8420d95
hex2d8af0188

12225282440 has 96 divisors (see below), whose sum is σ = 32023512000. Its totient is φ = 4188159360.

The previous prime is 12225282439. The next prime is 12225282451. The reversal of 12225282440 is 4428252221.

It is a junction number, because it is equal to n+sod(n) for n = 12225282397 and 12225282406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4528211 + ... + 4530909.

It is an arithmetic number, because the mean of its divisors is an integer number (333578250).

Almost surely, 212225282440 is an apocalyptic number.

12225282440 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 12225282440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16011756000).

12225282440 is an abundant number, since it is smaller than the sum of its proper divisors (19798229560).

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

12225282440 is a wasteful number, since it uses less digits than its factorization.

12225282440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The spelling of 12225282440 in words is "twelve billion, two hundred twenty-five million, two hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2311 2699 4622 5398 9244 10796 11555 13495 16177 18488 18893 21592 23110 26990 32354 37786 46220 53980 64708 75572 80885 92440 94465 107960 113239 129416 132251 151144 161770 188930 226478 264502 323540 377860 452956 529004 566195 647080 661255 755720 905912 1058008 1132390 1322510 2264780 2645020 4529560 5290040 6237389 12474778 24949556 31186945 43661723 49899112 62373890 87323446 124747780 174646892 218308615 249495560 305632061 349293784 436617230 611264122 873234460 1222528244 1528160305 1746468920 2445056488 3056320610 6112641220 12225282440