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12355220 = 225617761
BaseRepresentation
bin101111001000…
…011010010100
3212020201011202
4233020122110
511130331340
61120452032
7210006023
oct57103224
925221152
1012355220
116a79729
12417a018
1327378a7
1418d88ba
151140c15
hexbc8694

12355220 has 12 divisors (see below), whose sum is σ = 25946004. Its totient is φ = 4942080.

The previous prime is 12355199. The next prime is 12355223. The reversal of 12355220 is 2255321.

It can be written as a sum of positive squares in 2 ways, for example, as 6728836 + 5626384 = 2594^2 + 2372^2 .

It is a super-2 number, since 2×123552202 = 305302922496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 617761 = 12355220 / (1 + 2 + 3 + 5 + 5 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 12355192 and 12355201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308861 + ... + 308900.

It is an arithmetic number, because the mean of its divisors is an integer number (2162167).

Almost surely, 212355220 is an apocalyptic number.

12355220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12355220 is an abundant number, since it is smaller than the sum of its proper divisors (13590784).

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

12355220 is a wasteful number, since it uses less digits than its factorization.

12355220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617770 (or 617768 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 12355220 is about 3514.9992887624. Note that the first 3 decimals coincide. The cubic root of 12355220 is about 231.1799476149.

The spelling of 12355220 in words is "twelve million, three hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 617761 1235522 2471044 3088805 6177610 12355220