Search a number
-
+
83180244 = 223742887
BaseRepresentation
bin1001111010100…
…11101011010100
312210111222211210
410331103223110
5132243231434
612130501420
72030010000
oct475235324
9183458753
1083180244
1142a53604
1223a34870
1314304aa4
14b093700
157480ee9
hex4f53ad4

83180244 has 60 divisors (see below), whose sum is σ = 226500064. Its totient is φ = 23757552.

The previous prime is 83180243. The next prime is 83180249. The reversal of 83180244 is 44208138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83180243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27369 + ... + 30255.

Almost surely, 283180244 is an apocalyptic number.

83180244 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83180244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113250032).

83180244 is an abundant number, since it is smaller than the sum of its proper divisors (143319820).

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

83180244 is a wasteful number, since it uses less digits than its factorization.

83180244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 83180244 is about 9120.3203891091. The cubic root of 83180244 is about 436.5225967106.

The spelling of 83180244 in words is "eighty-three million, one hundred eighty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2401 2887 4116 4802 5774 7203 8661 9604 11548 14406 17322 20209 28812 34644 40418 60627 80836 121254 141463 242508 282926 424389 565852 848778 990241 1697556 1980482 2970723 3960964 5941446 6931687 11882892 13863374 20795061 27726748 41590122 83180244