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2300132733 = 32322116869
BaseRepresentation
bin1000100100011001…
…0011110101111101
312221022002211221020
42021012103311331
514202313221413
61020123454353
7110666543223
oct21106236575
95838084836
102300132733
11a80401848
125423873b9
132a86c06b2
1417b6a4b13
15d6deac23
hex89193d7d

2300132733 has 24 divisors (see below), whose sum is σ = 3221645280. Its totient is φ = 1459587360.

The previous prime is 2300132711. The next prime is 2300132749. The reversal of 2300132733 is 3372310032.

It is a happy number.

It is not a de Polignac number, because 2300132733 - 216 = 2300067197 is a prime.

It is a super-2 number, since 2×23001327332 = 10581221178836098578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300132753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331423 + ... + 338291.

It is an arithmetic number, because the mean of its divisors is an integer number (134235220).

Almost surely, 22300132733 is an apocalyptic number.

2300132733 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2300132733 is a deficient number, since it is larger than the sum of its proper divisors (921512547).

2300132733 is a wasteful number, since it uses less digits than its factorization.

2300132733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 2300132733 is about 47959.6990503485. The cubic root of 2300132733 is about 1320.0315138252.

Adding to 2300132733 its reverse (3372310032), we get a palindrome (5672442765).

The spelling of 2300132733 in words is "two billion, three hundred million, one hundred thirty-two thousand, seven hundred thirty-three".

Divisors: 1 3 23 69 211 529 633 1587 4853 6869 14559 20607 111619 157987 334857 473961 1449359 3633701 4348077 10901103 33335257 100005771 766710911 2300132733