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460468220 = 225671133041
BaseRepresentation
bin11011011100100…
…010111111111100
31012002110012122112
4123130202333330
51420334440340
6113405233152
714260625642
oct3334427774
91162405575
10460468220
11216a16653
1210a2627b8
1374523704
1445225192
152a65a065
hex1b722ffc

460468220 has 48 divisors (see below), whose sum is σ = 990426528. Its totient is φ = 179773440.

The previous prime is 460468207. The next prime is 460468223. The reversal of 460468220 is 22864064.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460468223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149900 + ... + 152940.

It is an arithmetic number, because the mean of its divisors is an integer number (20633886).

Almost surely, 2460468220 is an apocalyptic number.

It is an amenable number.

460468220 is an abundant number, since it is smaller than the sum of its proper divisors (529958308).

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

460468220 is a wasteful number, since it uses less digits than its factorization.

460468220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 460468220 is about 21458.5232483505. The cubic root of 460468220 is about 772.2060869791.

The spelling of 460468220 in words is "four hundred sixty million, four hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67 113 134 226 268 335 452 565 670 1130 1340 2260 3041 6082 7571 12164 15142 15205 30284 30410 37855 60820 75710 151420 203747 343633 407494 687266 814988 1018735 1374532 1718165 2037470 3436330 4074940 6872660 23023411 46046822 92093644 115117055 230234110 460468220