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314221842 = 23511531109
BaseRepresentation
bin10010101110101…
…010010100010010
3210220021010100000
4102232222110102
51120420044332
651102510430
710533561444
oct2256522422
9726233300
10314221842
11151408580
1289295416
135013a1ac
142da36494
151c8bcb7c
hex12baa512

314221842 has 96 divisors (see below), whose sum is σ = 785453760. Its totient is φ = 93337920.

The previous prime is 314221819. The next prime is 314221847. The reversal of 314221842 is 248122413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314221847) 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, 282784 + ... + 283892.

It is an arithmetic number, because the mean of its divisors is an integer number (8181810).

Almost surely, 2314221842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314221842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392726880).

314221842 is an abundant number, since it is smaller than the sum of its proper divisors (471231918).

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

314221842 is a wasteful number, since it uses less digits than its factorization.

314221842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1178 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 314221842 is about 17726.3036756116. The cubic root of 314221842 is about 679.8484682535.

The spelling of 314221842 in words is "three hundred fourteen million, two hundred twenty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 106 159 162 198 243 297 318 477 486 583 594 891 954 1109 1166 1431 1749 1782 2218 2673 2862 3327 3498 4293 5247 5346 6654 8586 9981 10494 12199 12879 15741 19962 24398 25758 29943 31482 36597 47223 58777 59886 73194 89829 94446 109791 117554 141669 176331 179658 219582 269487 283338 329373 352662 528993 538974 646547 658746 988119 1057986 1293094 1586979 1939641 1976238 2964357 3173958 3879282 4760937 5818923 5928714 9521874 11637846 14282811 17456769 28565622 34913538 52370307 104740614 157110921 314221842