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12354220 = 22523107251
BaseRepresentation
bin101111001000…
…001010101100
3212020122210201
4233020022230
511130313340
61120443244
7210003064
oct57101254
925218721
1012354220
116a789aa
124179524
1327372b8
1418d83a4
15114079a
hexbc82ac

12354220 has 48 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 4664000.

The previous prime is 12354193. The next prime is 12354227. The reversal of 12354220 is 2245321.

It is not an unprimeable number, because it can be changed into a prime (12354227) 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 15 ways as a sum of consecutive naturals, for example, 49095 + ... + 49345.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 212354220 is an apocalyptic number.

12354220 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 12354220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

12354220 is an abundant number, since it is smaller than the sum of its proper divisors (15079508).

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

12354220 is a wasteful number, since it uses less digits than its factorization.

12354220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 12354220 is about 3514.8570383445. The cubic root of 12354220 is about 231.1737104082.

Adding to 12354220 its reverse (2245321), we get a palindrome (14599541).

The spelling of 12354220 in words is "twelve million, three hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 107 115 214 230 251 428 460 502 535 1004 1070 1255 2140 2461 2510 4922 5020 5773 9844 11546 12305 23092 24610 26857 28865 49220 53714 57730 107428 115460 134285 268570 537140 617711 1235422 2470844 3088555 6177110 12354220