Search a number
-
+
83214108 = 2233291632
BaseRepresentation
bin1001111010110…
…11111100011100
312210120201022000
410331123330130
5132300322413
612131322300
72030210505
oct475337434
9183521260
1083214108
1142a76a9a
1223a50390
1314317323
14b0a1bac
15748b073
hex4f5bf1c

83214108 has 72 divisors (see below), whose sum is σ = 224557200. Its totient is φ = 26617248.

The previous prime is 83214107. The next prime is 83214119. The reversal of 83214108 is 80141238.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83214101) 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 23 ways as a sum of consecutive naturals, for example, 510435 + ... + 510597.

It is an arithmetic number, because the mean of its divisors is an integer number (3118850).

Almost surely, 283214108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83214108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112278600).

83214108 is an abundant number, since it is smaller than the sum of its proper divisors (141343092).

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

83214108 is a wasteful number, since it uses less digits than its factorization.

83214108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83214108 is about 9122.1767139209. The cubic root of 83214108 is about 436.5818271036.

The spelling of 83214108 in words is "eighty-three million, two hundred fourteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 163 174 261 326 348 489 522 652 783 978 1044 1467 1566 1956 2934 3132 4401 4727 5868 8802 9454 14181 17604 18908 26569 28362 42543 53138 56724 79707 85086 106276 127629 159414 170172 239121 255258 318828 478242 510516 717363 770501 956484 1434726 1541002 2311503 2869452 3082004 4623006 6934509 9246012 13869018 20803527 27738036 41607054 83214108