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2305323020 = 22571113115151
BaseRepresentation
bin1000100101101000…
…0111000000001100
312221122212112200002
42021122013000030
514210130314040
61020431023432
7111061631240
oct21132070014
95848775602
102305323020
11a83327340
1254406ab78
132a97b9c80
1417c256420
15d75c3a15
hex8968700c

2305323020 has 96 divisors (see below), whose sum is σ = 6500100096. Its totient is φ = 663264000.

The previous prime is 2305323019. The next prime is 2305323037. The reversal of 2305323020 is 203235032.

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 = 2305322983 and 2305323001.

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 31 ways as a sum of consecutive naturals, for example, 37556 + ... + 77595.

It is an arithmetic number, because the mean of its divisors is an integer number (67709376).

Almost surely, 22305323020 is an apocalyptic number.

2305323020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305323020 is an abundant number, since it is smaller than the sum of its proper divisors (4194777076).

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

2305323020 is a wasteful number, since it uses less digits than its factorization.

2305323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115191 (or 115189 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 2305323020 is about 48013.7794804783. The cubic root of 2305323020 is about 1321.0236588103.

Adding to 2305323020 its reverse (203235032), we get a palindrome (2508558052).

The spelling of 2305323020 in words is "two billion, three hundred five million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 115151 230302 460604 575755 806057 1151510 1266661 1496963 1612114 2303020 2533322 2993926 3224228 4030285 5066644 5987852 6333305 7484815 8060570 8866627 10478741 12666610 14969630 16121140 16466593 17733254 20957482 25333220 29939260 32933186 35466508 41914964 44333135 52393705 65866372 82332965 88666270 104787410 115266151 164665930 177332540 209574820 230532302 329331860 461064604 576330755 1152661510 2305323020