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2345332125 = 35331229881
BaseRepresentation
bin1000101111001010…
…1110110110011101
320001110011012211210
42023302232312131
514300401112000
61024420335033
7112055664663
oct21362566635
96043135753
102345332125
11aa3973814
12555544479
132b4b879b6
141836acc33
15dad78350
hex8bcaed9d

2345332125 has 64 divisors (see below), whose sum is σ = 4050708480. Its totient is φ = 1203840000.

The previous prime is 2345332111. The next prime is 2345332139. The reversal of 2345332125 is 5212335432.

It is an interprime number because it is at equal distance from previous prime (2345332111) and next prime (2345332139).

It is not a de Polignac number, because 2345332125 - 211 = 2345330077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2345332092 and 2345332101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2661685 + ... + 2662565.

It is an arithmetic number, because the mean of its divisors is an integer number (63292320).

Almost surely, 22345332125 is an apocalyptic number.

2345332125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2345332125 is a deficient number, since it is larger than the sum of its proper divisors (1705376355).

2345332125 is a wasteful number, since it uses less digits than its factorization.

2345332125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1149 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 2345332125 is about 48428.6291877026. The cubic root of 2345332125 is about 1328.6220346827.

Adding to 2345332125 its reverse (5212335432), we get a palindrome (7557667557).

The spelling of 2345332125 in words is "two billion, three hundred forty-five million, three hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 125 155 229 375 465 687 775 881 1145 2325 2643 3435 3875 4405 5725 7099 11625 13215 17175 21297 22025 27311 28625 35495 66075 81933 85875 106485 110125 136555 177475 201749 330375 409665 532425 605247 682775 887375 1008745 2048325 2662125 3026235 3413875 5043725 6254219 10241625 15131175 18762657 25218625 31271095 75655875 93813285 156355475 469066425 781777375 2345332125