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12224040 = 23352343103
BaseRepresentation
bin101110101000…
…011000101000
3212000001020020
4232220120220
511112132130
61114000440
7205621413
oct56503050
925001206
1012224040
11699a114
124116120
1326bcc7a
1418a2b7a
151116e10
hexba8628

12224040 has 128 divisors (see below), whose sum is σ = 39536640. Its totient is φ = 3015936.

The previous prime is 12224029. The next prime is 12224053. The reversal of 12224040 is 4042221.

12224040 is a nontrivial binomial coefficient, being equal to C(4945, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118629 + ... + 118731.

It is an arithmetic number, because the mean of its divisors is an integer number (308880).

Almost surely, 212224040 is an apocalyptic number.

12224040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12224040 is the 4944-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768320).

12224040 is an abundant number, since it is smaller than the sum of its proper divisors (27312600).

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

12224040 is a wasteful number, since it uses less digits than its factorization.

12224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 12224040 is about 3496.2894617008. The cubic root of 12224040 is about 230.3588600832.

Adding to 12224040 its reverse (4042221), we get a palindrome (16266261).

The spelling of 12224040 in words is "twelve million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 43 46 60 69 86 92 103 115 120 129 138 172 184 206 215 230 258 276 309 344 345 412 430 460 515 516 552 618 645 690 824 860 920 989 1030 1032 1236 1290 1380 1545 1720 1978 2060 2369 2472 2580 2760 2967 3090 3956 4120 4429 4738 4945 5160 5934 6180 7107 7912 8858 9476 9890 11845 11868 12360 13287 14214 14835 17716 18952 19780 22145 23690 23736 26574 28428 29670 35432 35535 39560 44290 47380 53148 56856 59340 66435 71070 88580 94760 101867 106296 118680 132870 142140 177160 203734 265740 284280 305601 407468 509335 531480 611202 814936 1018670 1222404 1528005 2037340 2444808 3056010 4074680 6112020 12224040