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232980 = 223511353
BaseRepresentation
bin111000111000010100
3102211120220
4320320110
524423410
64554340
71660146
oct707024
9384526
10232980
1114a050
12b29b0
1382077
1460c96
1549070
hex38e14

232980 has 48 divisors (see below), whose sum is σ = 713664. Its totient is φ = 56320.

The previous prime is 232963. The next prime is 232987. The reversal of 232980 is 89232.

It is a self number, because there is not a number n which added to its sum of digits gives 232980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232987) by changing a digit.

232980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (14868).

2232980 is an apocalyptic number.

232980 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 232980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356832).

232980 is an abundant number, since it is smaller than the sum of its proper divisors (480684).

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

232980 is a wasteful number, since it uses less digits than its factorization.

232980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 232980 is about 482.6800182315. The cubic root of 232980 is about 61.5327342426.

It can be divided in two parts, 23 and 2980, that added together give a palindrome (3003).

The spelling of 232980 in words is "two hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 353 660 706 1059 1412 1765 2118 3530 3883 4236 5295 7060 7766 10590 11649 15532 19415 21180 23298 38830 46596 58245 77660 116490 232980