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2304545220 = 2232541312269
BaseRepresentation
bin1000100101011100…
…1001000111000100
312221121102000201200
42021113021013010
514204430421340
61020402222500
7111052211505
oct21127110704
95847360650
102304545220
11a82945a2a
12543954a30
132a95a6c33
1417c0d2bac
15d74bd330
hex895c91c4

2304545220 has 72 divisors (see below), whose sum is σ = 7160975640. Its totient is φ = 599554560.

The previous prime is 2304545213. The next prime is 2304545231. The reversal of 2304545220 is 225454032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 106998336 + 2197546884 = 10344^2 + 46878^2 .

It is a super-3 number, since 3×23045452203 (a number of 29 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 148755 + ... + 163514.

It is an arithmetic number, because the mean of its divisors is an integer number (99457995).

Almost surely, 22304545220 is an apocalyptic number.

2304545220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2304545220 is an abundant number, since it is smaller than the sum of its proper divisors (4856430420).

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

2304545220 is a wasteful number, since it uses less digits than its factorization.

2304545220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312325 (or 312320 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2304545220 is about 48005.6790390470. The cubic root of 2304545220 is about 1320.8750740247.

Adding to 2304545220 its reverse (225454032), we get a palindrome (2529999252).

It can be divided in two parts, 23045 and 45220, that added together give a triangular number (68265 = T369).

The spelling of 2304545220 in words is "two billion, three hundred four million, five hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 312269 624538 936807 1249076 1561345 1873614 2810421 3122690 3747228 4684035 5620842 6245380 9368070 11241684 12803029 14052105 18736140 25606058 28104210 38409087 51212116 56208420 64015145 76818174 115227261 128030290 153636348 192045435 230454522 256060580 384090870 460909044 576136305 768181740 1152272610 2304545220