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304222720 = 295151787
BaseRepresentation
bin10010001000100…
…001001000000000
3210012110010010011
4102020201020000
51110340111340
650104314304
710352564464
oct2210411000
9705403104
10304222720
111467a903a
1285a72994
134b048b59
142c5924a4
151ba950ea
hex12221200

304222720 has 80 divisors (see below), whose sum is σ = 735185088. Its totient is φ = 120729600.

The previous prime is 304222697. The next prime is 304222727. The reversal of 304222720 is 27222403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 304222691 and 304222700.

It is not an unprimeable number, because it can be changed into a prime (304222727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386167 + ... + 386953.

Almost surely, 2304222720 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 304222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367592544).

304222720 is an abundant number, since it is smaller than the sum of its proper divisors (430962368).

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

304222720 is an equidigital number, since it uses as much as digits as its factorization.

304222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 304222720 is about 17441.9815388046. The cubic root of 304222720 is about 672.5592472320.

The spelling of 304222720 in words is "three hundred four million, two hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 256 302 320 512 604 640 755 787 1208 1280 1510 1574 2416 2560 3020 3148 3935 4832 6040 6296 7870 9664 12080 12592 15740 19328 24160 25184 31480 38656 48320 50368 62960 77312 96640 100736 118837 125920 193280 201472 237674 251840 386560 402944 475348 503680 594185 950696 1007360 1188370 1901392 2014720 2376740 3802784 4753480 7605568 9506960 15211136 19013920 30422272 38027840 60844544 76055680 152111360 304222720