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2345153213 = 13172624209
BaseRepresentation
bin1000101111001000…
…0011001010111101
320001102211010102102
42023302003022331
514300324400323
61024412434445
7112054321244
oct21362031275
96042733372
102345153213
11aa3861357
12555478a25
132b4b24430
1418366395b
15dad40328
hex8bc832bd

2345153213 has 12 divisors (see below), whose sum is σ = 2682854580. Its totient is φ = 2037414912.

The previous prime is 2345153191. The next prime is 2345153243. The reversal of 2345153213 is 3123515432.

It is a happy number.

2345153213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 164916964 + 2180236249 = 12842^2 + 46693^2 .

It is not a de Polignac number, because 2345153213 - 212 = 2345149117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345153243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308348 + ... + 315861.

It is an arithmetic number, because the mean of its divisors is an integer number (223571215).

Almost surely, 22345153213 is an apocalyptic number.

It is an amenable number.

2345153213 is a deficient number, since it is larger than the sum of its proper divisors (337701367).

2345153213 is a wasteful number, since it uses less digits than its factorization.

2345153213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624256 (or 624239 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 2345153213 is about 48426.7819806355. The cubic root of 2345153213 is about 1328.5882494933.

Adding to 2345153213 its reverse (3123515432), we get a palindrome (5468668645).

The spelling of 2345153213 in words is "two billion, three hundred forty-five million, one hundred fifty-three thousand, two hundred thirteen".

Divisors: 1 13 17 221 289 3757 624209 8114717 10611553 137950189 180396401 2345153213