Search a number
-
+
228140 = 225111761
BaseRepresentation
bin110111101100101100
3102120221122
4313230230
524300030
64520112
71640063
oct675454
9376848
10228140
11146450
12b0038
137cac3
145d1da
15478e5
hex37b2c

228140 has 48 divisors (see below), whose sum is σ = 562464. Its totient is φ = 76800.

The previous prime is 228139. The next prime is 228181. The reversal of 228140 is 41822.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3710 + ... + 3770.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2228140 is an apocalyptic number.

228140 is a gapful number since it is divisible by the number (20) 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 228140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

228140 is an abundant number, since it is smaller than the sum of its proper divisors (334324).

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

228140 is a wasteful number, since it uses less digits than its factorization.

228140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 228140 is about 477.6400318231. The cubic root of 228140 is about 61.1036489205.

Adding to 228140 its reverse (41822), we get a palindrome (269962).

It can be divided in two parts, 2 and 28140, that multiplied together give a triangular number (56280 = T335).

The spelling of 228140 in words is "two hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 61 68 85 110 122 170 187 220 244 305 340 374 610 671 748 935 1037 1220 1342 1870 2074 2684 3355 3740 4148 5185 6710 10370 11407 13420 20740 22814 45628 57035 114070 228140