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12224020 = 22517157229
BaseRepresentation
bin101110101000…
…011000010100
3212000001012111
4232220120110
511112132040
61114000404
7205621354
oct56503024
925001174
1012224020
11699a0a6
124116104
1326bcc63
1418a2b64
151116dea
hexba8614

12224020 has 48 divisors (see below), whose sum is σ = 27473040. Its totient is φ = 4552704.

The previous prime is 12223987. The next prime is 12224021. The reversal of 12224020 is 2042221.

It can be written as a sum of positive squares in 8 ways, for example, as 636804 + 11587216 = 798^2 + 3404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53266 + ... + 53494.

It is an arithmetic number, because the mean of its divisors is an integer number (572355).

Almost surely, 212224020 is an apocalyptic number.

12224020 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 12224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13736520).

12224020 is an abundant number, since it is smaller than the sum of its proper divisors (15249020).

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

12224020 is a wasteful number, since it uses less digits than its factorization.

12224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 12224020 is about 3496.2866015245. The cubic root of 12224020 is about 230.3587344515.

Adding to 12224020 its reverse (2042221), we get a palindrome (14266241).

It can be divided in two parts, 122 and 24020, that added together give a palindrome (24142).

The spelling of 12224020 in words is "twelve million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 229 314 340 458 628 785 916 1145 1570 2290 2669 3140 3893 4580 5338 7786 10676 13345 15572 19465 26690 35953 38930 53380 71906 77860 143812 179765 359530 611201 719060 1222402 2444804 3056005 6112010 12224020