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2300468229 = 333779103283
BaseRepresentation
bin1000100100011110…
…0101110000000101
312221022201220011000
42021013211300011
514202404440404
61020135003513
7111002441313
oct21107456005
95838656130
102300468229
11a80610914
12542509599
132a87aa307
1417b7510b3
15d6e65339
hex891e5c05

2300468229 has 64 divisors (see below), whose sum is σ = 3591577600. Its totient is φ = 1453847616.

The previous prime is 2300468201. The next prime is 2300468311. The reversal of 2300468229 is 9228640032.

It is not a de Polignac number, because 2300468229 - 25 = 2300468197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2300468193 and 2300468202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300468029) 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 63 ways as a sum of consecutive naturals, for example, 8128722 + ... + 8129004.

It is an arithmetic number, because the mean of its divisors is an integer number (56118400).

Almost surely, 22300468229 is an apocalyptic number.

It is an amenable number.

2300468229 is a deficient number, since it is larger than the sum of its proper divisors (1291109371).

2300468229 is a wasteful number, since it uses less digits than its factorization.

2300468229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2300468229 is about 47963.1966094838. The cubic root of 2300468229 is about 1320.0956903770.

The spelling of 2300468229 in words is "two billion, three hundred million, four hundred sixty-eight thousand, two hundred twenty-nine".

Divisors: 1 3 9 27 37 79 103 111 237 283 309 333 711 849 927 999 2133 2547 2781 2923 3811 7641 8137 8769 10471 11433 22357 24411 26307 29149 31413 34299 67071 73233 78921 87447 94239 102897 201213 219699 262341 282717 301069 603639 787023 827209 903207 1078513 2302771 2481627 2709621 3235539 6908313 7444881 8128863 9706617 20724939 22334643 29119851 62174817 85202527 255607581 766822743 2300468229