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2253495841 = 37212832
BaseRepresentation
bin1000011001010001…
…1001111000100001
312211001100110010221
42012110121320201
514103343331331
61011340123041
7106562253502
oct20624317041
95731313127
102253495841
11a57048863
1252a836481
1329bb41cbc
14175404ba9
15d2c87711
hex86519e21

2253495841 has 9 divisors (see below), whose sum is σ = 2317853811. Its totient is φ = 2190881592.

The previous prime is 2253495799. The next prime is 2253495851. The reversal of 2253495841 is 1485943522.

The square root of 2253495841 is 47471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2016459025 + 237036816 = 44905^2 + 15396^2 .

It is not a de Polignac number, because 2253495841 - 215 = 2253463073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2253495851) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1755786 + ... + 1757068.

Almost surely, 22253495841 is an apocalyptic number.

2253495841 is the 47471-st square number.

2253495841 is the 23736-th centered octagonal number.

It is an amenable number.

2253495841 is a deficient number, since it is larger than the sum of its proper divisors (64357970).

2253495841 is an frugal number, since it uses more digits than its factorization.

2253495841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 1320 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The cubic root of 2253495841 is about 1311.0489900262.

The spelling of 2253495841 in words is "two billion, two hundred fifty-three million, four hundred ninety-five thousand, eight hundred forty-one".

Divisors: 1 37 1283 1369 47471 1646089 1756427 60905293 2253495841