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2290247349 = 313374733769
BaseRepresentation
bin1000100010000010…
…0110011010110101
312220121111121201220
42020200212122311
514142300403344
61015131540553
7110516531655
oct21040463265
95817447656
102290247349
11a7586a805
1253abba759
132a663c060
1417a250365
15d60e6c19
hex888266b5

2290247349 has 32 divisors (see below), whose sum is σ = 3449402880. Its totient is φ = 1342075392.

The previous prime is 2290247339. The next prime is 2290247359. The reversal of 2290247349 is 9437420922.

It is an interprime number because it is at equal distance from previous prime (2290247339) and next prime (2290247359).

It is not a de Polignac number, because 2290247349 - 25 = 2290247317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2290247349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290247339) 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 31 ways as a sum of consecutive naturals, for example, 50937 + ... + 84705.

It is an arithmetic number, because the mean of its divisors is an integer number (107793840).

Almost surely, 22290247349 is an apocalyptic number.

It is an amenable number.

2290247349 is a deficient number, since it is larger than the sum of its proper divisors (1159155531).

2290247349 is a wasteful number, since it uses less digits than its factorization.

2290247349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33869.

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2290247349 is about 47856.5288022439. The cubic root of 2290247349 is about 1318.1377452953.

The spelling of 2290247349 in words is "two billion, two hundred ninety million, two hundred forty-seven thousand, three hundred forty-nine".

Divisors: 1 3 13 37 39 47 111 141 481 611 1443 1739 1833 5217 22607 33769 67821 101307 438997 1249453 1316991 1587143 3748359 4761429 16242889 20632859 48728667 58724291 61898577 176172873 763415783 2290247349