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233130 = 23519409
BaseRepresentation
bin111000111010101010
3102211210110
4320322222
524430010
64555150
71660452
oct707252
9384713
10233130
1114a177
12b2ab6
1382161
1460d62
1549120
hex38eaa

233130 has 32 divisors (see below), whose sum is σ = 590400. Its totient is φ = 58752.

The previous prime is 233117. The next prime is 233141. The reversal of 233130 is 31332.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

233130 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, 366 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (18450).

2233130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295200).

233130 is an abundant number, since it is smaller than the sum of its proper divisors (357270).

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

233130 is a wasteful number, since it uses less digits than its factorization.

233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 233130 is about 482.8353756717. The cubic root of 233130 is about 61.5459369925.

Adding to 233130 its reverse (31332), we get a palindrome (264462).

It can be divided in two parts, 233 and 130, that added together give a palindrome (363).

The spelling of 233130 in words is "two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 409 570 818 1227 2045 2454 4090 6135 7771 12270 15542 23313 38855 46626 77710 116565 233130