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230321120 = 25511312739
BaseRepresentation
bin11011011101001…
…10101111100000
3121001101112011212
431232212233200
5432430233440
634504325252
75464461101
oct1556465740
9531345155
10230321120
11109012737
1265173828
13389424b3
14228363a8
1515348465
hexdba6be0

230321120 has 48 divisors (see below), whose sum is σ = 548992080. Its totient is φ = 91305984.

The previous prime is 230321111. The next prime is 230321129. The reversal of 230321120 is 21123032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230321111) and next prime (230321129).

It is a junction number, because it is equal to n+sod(n) for n = 230321095 and 230321104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230321129) 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, 11711 + ... + 24449.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2230321120 is an apocalyptic number.

230321120 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 230321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274496040).

230321120 is an abundant number, since it is smaller than the sum of its proper divisors (318670960).

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

230321120 is a wasteful number, since it uses less digits than its factorization.

230321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12867 (or 12859 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 230321120 is about 15176.3342082336. The cubic root of 230321120 is about 612.9775767163.

Adding to 230321120 its reverse (21123032), we get a palindrome (251444152).

The spelling of 230321120 in words is "two hundred thirty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 12739 18080 25478 50956 63695 101912 127390 203824 254780 407648 509560 1019120 1439507 2038240 2879014 5758028 7197535 11516056 14395070 23032112 28790140 46064224 57580280 115160560 230321120