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2300936868 = 22363132521
BaseRepresentation
bin1000100100100101…
…1000001010100100
312221100121201000000
42021021120022210
514203014434433
61020153021300
7111006432516
oct21111301244
95840551000
102300936868
11a80900a1a
125426b4830
132a8912709
1417b833bb6
15d7009113
hex892582a4

2300936868 has 84 divisors (see below), whose sum is σ = 6058888108. Its totient is φ = 764225280.

The previous prime is 2300936867. The next prime is 2300936887. The reversal of 2300936868 is 8686390032.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 2294218404 = 2592^2 + 47898^2 .

It is not an unprimeable number, because it can be changed into a prime (2300936861) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 911448 + ... + 913968.

Almost surely, 22300936868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300936868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029444054).

2300936868 is an abundant number, since it is smaller than the sum of its proper divisors (3757951240).

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

2300936868 is a wasteful number, since it uses less digits than its factorization.

2300936868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2300936868 is about 47968.0817627722. The cubic root of 2300936868 is about 1320.1853252192.

The spelling of 2300936868 in words is "two billion, three hundred million, nine hundred thirty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 313 324 486 626 729 939 972 1252 1458 1878 2521 2817 2916 3756 5042 5634 7563 8451 10084 11268 15126 16902 22689 25353 30252 33804 45378 50706 68067 76059 90756 101412 136134 152118 204201 228177 272268 304236 408402 456354 612603 789073 816804 912708 1225206 1578146 1837809 2367219 2450412 3156292 3675618 4734438 7101657 7351236 9468876 14203314 21304971 28406628 42609942 63914913 85219884 127829826 191744739 255659652 383489478 575234217 766978956 1150468434 2300936868