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220344225 = 35217473677
BaseRepresentation
bin11010010001000…
…10111110100001
3120100121122110020
431020202332201
5422402003400
633510424053
75313615663
oct1510427641
9510548406
10220344225
11103418972
1261962029
133685b2ca
142139a533
15145272a0
hexd222fa1

220344225 has 48 divisors (see below), whose sum is σ = 394046208. Its totient is φ = 108221440.

The previous prime is 220344217. The next prime is 220344239. The reversal of 220344225 is 522443022.

It is a happy number.

It is not a de Polignac number, because 220344225 - 23 = 220344217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220344195 and 220344204.

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 47 ways as a sum of consecutive naturals, for example, 58087 + ... + 61763.

It is an arithmetic number, because the mean of its divisors is an integer number (8209296).

Almost surely, 2220344225 is an apocalyptic number.

220344225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220344225 is a deficient number, since it is larger than the sum of its proper divisors (173701983).

220344225 is a wasteful number, since it uses less digits than its factorization.

220344225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 220344225 is about 14843.9962611151. The cubic root of 220344225 is about 603.9957613038.

Adding to 220344225 its reverse (522443022), we get a palindrome (742787247).

The spelling of 220344225 in words is "two hundred twenty million, three hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 15 17 25 47 51 75 85 141 235 255 425 705 799 1175 1275 2397 3525 3677 3995 11031 11985 18385 19975 55155 59925 62509 91925 172819 187527 275775 312545 518457 864095 937635 1562725 2592285 2937923 4320475 4688175 8813769 12961425 14689615 44068845 73448075 220344225