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3223241120 = 255113159077
BaseRepresentation
bin1100000000011110…
…1100000110100000
322022122002121120202
43000013230012200
523100122203440
61251501124332
7142606045301
oct30007540640
98278077522
103223241120
111404487840
1275b5596a8
133c4a18288
142281187a8
1513ce8e615
hexc01ec1a0

3223241120 has 96 divisors (see below), whose sum is σ = 8575289856. Its totient is φ = 1134259200.

The previous prime is 3223241113. The next prime is 3223241201. The reversal of 3223241120 is 211423223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3223241092 and 3223241101.

It is an unprimeable number.

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, 25022 + ... + 84098.

It is an arithmetic number, because the mean of its divisors is an integer number (89325936).

Almost surely, 23223241120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287644928).

3223241120 is an abundant number, since it is smaller than the sum of its proper divisors (5352048736).

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

3223241120 is a wasteful number, since it uses less digits than its factorization.

3223241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59134 (or 59126 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3223241120 is about 56773.5952710413. The cubic root of 3223241120 is about 1477.1715397181.

Adding to 3223241120 its reverse (211423223), we get a palindrome (3434664343).

The spelling of 3223241120 in words is "three billion, two hundred twenty-three million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 59077 118154 236308 295385 472616 590770 649847 945232 1181540 1299694 1831387 1890464 2363080 2599388 3249235 3662774 4726160 5198776 6498470 7325548 9156935 9452320 10397552 12996940 14651096 18313870 20145257 20795104 25993880 29302192 36627740 40290514 51987760 58604384 73255480 80581028 100726285 103975520 146510960 161162056 201452570 293021920 322324112 402905140 644648224 805810280 1611620560 3223241120