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1468225278 = 234132392917
BaseRepresentation
bin101011110000011…
…0101011011111110
310210022201120110000
41113200311123332
511001331202103
6401405055130
751245465112
oct12740653376
93708646400
101468225278
11693858423
1234b8574a6
131a5248570
14dcdd1742
1588d6eaa3
hex578356fe

1468225278 has 80 divisors (see below), whose sum is σ = 3559026240. Its totient is φ = 449717184.

The previous prime is 1468225273. The next prime is 1468225303. The reversal of 1468225278 is 8725228641.

1468225278 is a `hidden beast` number, since 1 + 46 + 82 + 2 + 527 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468225273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 501876 + ... + 504792.

It is an arithmetic number, because the mean of its divisors is an integer number (44487828).

Almost surely, 21468225278 is an apocalyptic number.

1468225278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468225278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779513120).

1468225278 is an abundant number, since it is smaller than the sum of its proper divisors (2090800962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1468225278 is a wasteful number, since it uses less digits than its factorization.

1468225278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3174 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 1468225278 is about 38317.4278625275. The cubic root of 1468225278 is about 1136.5736038718.

It can be divided in two parts, 146822 and 5278, that added together give a square (152100 = 3902).

The spelling of 1468225278 in words is "one billion, four hundred sixty-eight million, two hundred twenty-five thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 239 351 478 702 717 1053 1434 2106 2151 2917 3107 4302 5834 6214 6453 8751 9321 12906 17502 18642 19359 26253 27963 37921 38718 52506 55926 75842 78759 83889 113763 157518 167778 227526 236277 251667 341289 472554 503334 682578 697163 1023867 1394326 2047734 2091489 3071601 4182978 6143202 6274467 9063119 12548934 18126238 18823401 27189357 37646802 54378714 56470203 81568071 112940406 163136142 244704213 489408426 734112639 1468225278