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230120 = 23511523
BaseRepresentation
bin111000001011101000
3102200122222
4320023220
524330440
64533212
71645622
oct701350
9380588
10230120
11147990
12b1208
1380987
145dc12
15482b5
hex382e8

230120 has 32 divisors (see below), whose sum is σ = 565920. Its totient is φ = 83520.

The previous prime is 230117. The next prime is 230123. The reversal of 230120 is 21032.

It is an interprime number because it is at equal distance from previous prime (230117) and next prime (230123).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 230098 and 230107.

It is not an unprimeable number, because it can be changed into a prime (230123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (17685).

2230120 is an apocalyptic number.

230120 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 230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282960).

230120 is an abundant number, since it is smaller than the sum of its proper divisors (335800).

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

230120 is a wasteful number, since it uses less digits than its factorization.

230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 230120 is about 479.7082446654. The cubic root of 230120 is about 61.2799104226.

Adding to 230120 its reverse (21032), we get a palindrome (251152).

The spelling of 230120 in words is "two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 523 1046 2092 2615 4184 5230 5753 10460 11506 20920 23012 28765 46024 57530 115060 230120