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1228284323 = 721747137229
BaseRepresentation
bin100100100110110…
…0010000110100011
310011121020022022222
41021031202012203
510003420044243
6321514221255
742303146600
oct11115420643
93147208288
101228284323
11580375212
122a342482b
13167618576
14b91b36a7
1572c76168
hex493621a3

1228284323 has 48 divisors (see below), whose sum is σ = 1563131520. Its totient is φ = 958519296.

The previous prime is 1228284311. The next prime is 1228284329. The reversal of 1228284323 is 3234828221.

It is not a de Polignac number, because 1228284323 - 26 = 1228284259 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1228284329) 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 47 ways as a sum of consecutive naturals, for example, 5363573 + ... + 5363801.

It is an arithmetic number, because the mean of its divisors is an integer number (32565240).

Almost surely, 21228284323 is an apocalyptic number.

1228284323 is a deficient number, since it is larger than the sum of its proper divisors (334847197).

1228284323 is a wasteful number, since it uses less digits than its factorization.

1228284323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 437 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 1228284323 is about 35046.8874937561. The cubic root of 1228284323 is about 1070.9428679279.

The spelling of 1228284323 in words is "one billion, two hundred twenty-eight million, two hundred eighty-four thousand, three hundred twenty-three".

Divisors: 1 7 17 47 49 119 137 229 329 799 833 959 1603 2303 2329 3893 5593 6439 6713 10763 11221 16303 27251 31373 39151 45073 75341 109463 114121 182971 190757 219611 315511 527387 533341 766241 1280797 1474531 1537277 3733387 5363687 8965579 10321717 25067027 26133709 72252019 175469189 1228284323