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470453220 = 223254495821
BaseRepresentation
bin11100000010101…
…000101111100100
31012210020111111100
4130002220233210
51430414000340
6114403240100
714441533506
oct3402505744
91183214440
10470453220
11221616516
12111679030
137660b4b3
14466a3d76
152b47d830
hex1c0a8be4

470453220 has 72 divisors (see below), whose sum is σ = 1430465400. Its totient is φ = 125153280.

The previous prime is 470453219. The next prime is 470453227. The reversal of 470453220 is 22354074.

It can be written as a sum of positive squares in 4 ways, for example, as 143856036 + 326597184 = 11994^2 + 18072^2 .

It is not an unprimeable number, because it can be changed into a prime (470453227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 77910 + ... + 83730.

It is an arithmetic number, because the mean of its divisors is an integer number (19867575).

Almost surely, 2470453220 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 470453220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715232700).

470453220 is an abundant number, since it is smaller than the sum of its proper divisors (960012180).

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

470453220 is a wasteful number, since it uses less digits than its factorization.

470453220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6285 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 470453220 is about 21689.9336098569. The cubic root of 470453220 is about 777.7478426725.

The spelling of 470453220 in words is "four hundred seventy million, four hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1347 1796 2245 2694 4041 4490 5388 5821 6735 8082 8980 11642 13470 16164 17463 20205 23284 26940 29105 34926 40410 52389 58210 69852 80820 87315 104778 116420 174630 209556 261945 349260 523890 1047780 2613629 5227258 7840887 10454516 13068145 15681774 23522661 26136290 31363548 39204435 47045322 52272580 78408870 94090644 117613305 156817740 235226610 470453220