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12213420 = 2235476171
BaseRepresentation
bin101110100101…
…110010101100
3211222111122220
4232211302230
511111312140
61113435340
7205545432
oct56456254
924874586
1012213420
11699213a
12410bb50
1326b819b
14189cd52
151113bd0
hexba5cac

12213420 has 96 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 3091200.

The previous prime is 12213403. The next prime is 12213469. The reversal of 12213420 is 2431221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12213420.

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 31 ways as a sum of consecutive naturals, for example, 171985 + ... + 172055.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 212213420 is an apocalyptic number.

12213420 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 12213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

12213420 is an abundant number, since it is smaller than the sum of its proper divisors (23784276).

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

12213420 is a wasteful number, since it uses less digits than its factorization.

12213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12213420 is about 3494.7703787230. The cubic root of 12213420 is about 230.2921303741.

Adding to 12213420 its reverse (2431221), we get a palindrome (14644641).

The spelling of 12213420 in words is "twelve million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 61 71 94 122 141 142 183 188 213 235 244 282 284 305 355 366 426 470 564 610 705 710 732 852 915 940 1065 1220 1410 1420 1830 2130 2820 2867 3337 3660 4260 4331 5734 6674 8601 8662 10011 11468 12993 13348 14335 16685 17202 17324 20022 21655 25986 28670 33370 34404 40044 43005 43310 50055 51972 57340 64965 66740 86010 86620 100110 129930 172020 200220 203557 259860 407114 610671 814228 1017785 1221342 2035570 2442684 3053355 4071140 6106710 12213420