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2284253439 = 313434773397
BaseRepresentation
bin1000100000100110…
…1111000011111111
312220012020002122020
42020021233003333
514134232102224
61014355251223
7110414556006
oct21011570377
95805202566
102284253439
11a72446466
12538ba9b13
132a5320a70
1417952dc3d
15d5810c79
hex8826f0ff

2284253439 has 64 divisors (see below), whose sum is σ = 3483346944. Its totient is φ = 1322044416.

The previous prime is 2284253429. The next prime is 2284253449. The reversal of 2284253439 is 9343524822.

It is an interprime number because it is at equal distance from previous prime (2284253429) and next prime (2284253449).

It is not a de Polignac number, because 2284253439 - 25 = 2284253407 is a prime.

Its product of digits (414720) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 2284253439.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284253429) 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 63 ways as a sum of consecutive naturals, for example, 5753589 + ... + 5753985.

It is an arithmetic number, because the mean of its divisors is an integer number (54427296).

Almost surely, 22284253439 is an apocalyptic number.

2284253439 is a deficient number, since it is larger than the sum of its proper divisors (1199093505).

2284253439 is a wasteful number, since it uses less digits than its factorization.

2284253439 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its digits is 414720, while the sum is 42.

The square root of 2284253439 is about 47793.8640308565. The cubic root of 2284253439 is about 1316.9868213470.

The spelling of 2284253439 in words is "two billion, two hundred eighty-four million, two hundred fifty-three thousand, four hundred thirty-nine".

Divisors: 1 3 13 39 43 47 73 129 141 219 397 559 611 949 1191 1677 1833 2021 2847 3139 3431 5161 6063 9417 10293 15483 17071 18659 26273 28981 40807 44603 51213 55977 78819 86943 122421 133809 147533 221923 242567 376753 442599 665769 727701 802337 1130259 1246183 1362107 1917929 2407011 3738549 4086321 5753787 10430381 16200379 17707391 31291143 48601137 53122173 58570601 175711803 761417813 2284253439