Search a number
-
+
83230180 = 225111033673
BaseRepresentation
bin1001111010111…
…11110111100100
312210121112100021
410331133313210
5132301331210
612131524524
72030305405
oct475376744
9183545307
1083230180
1142a88080
1223a59744
1314321737
14b0a79ac
157490bda
hex4f5fde4

83230180 has 48 divisors (see below), whose sum is σ = 192576384. Its totient is φ = 29963520.

The previous prime is 83230177. The next prime is 83230183. The reversal of 83230180 is 8103238.

It is an interprime number because it is at equal distance from previous prime (83230177) and next prime (83230183).

It is not an unprimeable number, because it can be changed into a prime (83230183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20824 + ... + 24496.

It is an arithmetic number, because the mean of its divisors is an integer number (4012008).

Almost surely, 283230180 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 83230180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96288192).

83230180 is an abundant number, since it is smaller than the sum of its proper divisors (109346204).

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

83230180 is a wasteful number, since it uses less digits than its factorization.

83230180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 83230180 is about 9123.0576014843. The cubic root of 83230180 is about 436.6099324798.

The spelling of 83230180 in words is "eighty-three million, two hundred thirty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 3673 4532 5665 7346 11330 14692 18365 22660 36730 40403 73460 80806 161612 202015 378319 404030 756638 808060 1513276 1891595 3783190 4161509 7566380 8323018 16646036 20807545 41615090 83230180