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230100 = 223521359
BaseRepresentation
bin111000001011010100
3102200122020
4320023110
524330400
64533140
71645563
oct701324
9380566
10230100
11147972
12b11b0
1380970
145dbda
15482a0
hex382d4

230100 has 72 divisors (see below), whose sum is σ = 729120. Its totient is φ = 55680.

The previous prime is 230089. The next prime is 230101. The reversal of 230100 is 1032.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3871 + ... + 3929.

2230100 is an apocalyptic number.

230100 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 230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364560).

230100 is an abundant number, since it is smaller than the sum of its proper divisors (499020).

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

230100 is a wasteful number, since it uses less digits than its factorization.

230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 230100 is about 479.6873982085. The cubic root of 230100 is about 61.2781350681.

Adding to 230100 its reverse (1032), we get a palindrome (231132).

The spelling of 230100 in words is "two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 59 60 65 75 78 100 118 130 150 156 177 195 236 260 295 300 325 354 390 590 650 708 767 780 885 975 1180 1300 1475 1534 1770 1950 2301 2950 3068 3540 3835 3900 4425 4602 5900 7670 8850 9204 11505 15340 17700 19175 23010 38350 46020 57525 76700 115050 230100