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2305463136 = 253166914389
BaseRepresentation
bin1000100101101010…
…1001001101100000
312221200010122212120
42021122221031200
514210144310021
61020434024240
7111063053604
oct21132511540
95850118776
102305463136
11a83412639
12544118080
132a9838992
1417c291504
15d76002c6
hex896a9360

2305463136 has 48 divisors (see below), whose sum is σ = 6055887600. Its totient is φ = 767973888.

The previous prime is 2305463113. The next prime is 2305463159. The reversal of 2305463136 is 6313645032.

It is an interprime number because it is at equal distance from previous prime (2305463113) and next prime (2305463159).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2305463097 and 2305463106.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 153030 + ... + 167418.

It is an arithmetic number, because the mean of its divisors is an integer number (126164325).

Almost surely, 22305463136 is an apocalyptic number.

It is an amenable number.

2305463136 is an abundant number, since it is smaller than the sum of its proper divisors (3750424464).

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

2305463136 is a wasteful number, since it uses less digits than its factorization.

2305463136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16071 (or 16063 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 2305463136 is about 48015.2385811005. The cubic root of 2305463136 is about 1321.0504219145.

The spelling of 2305463136 in words is "two billion, three hundred five million, four hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1669 3338 5007 6676 10014 13352 14389 20028 26704 28778 40056 43167 53408 57556 80112 86334 115112 160224 172668 230224 345336 460448 690672 1381344 24015241 48030482 72045723 96060964 144091446 192121928 288182892 384243856 576365784 768487712 1152731568 2305463136