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230455830 = 235113172203
BaseRepresentation
bin11011011110001…
…11101000010110
3121001122100222010
431233013220112
5432444041310
634511245050
75465561613
oct1557075026
9531570863
10230455830
111090a4970
1265219786
133898b8c7
142286d50a
1515373320
hexdbc7a16

230455830 has 64 divisors (see below), whose sum is σ = 605553408. Its totient is φ = 55666560.

The previous prime is 230455789. The next prime is 230455831. The reversal of 230455830 is 38554032.

230455830 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230455831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103509 + ... + 105711.

It is an arithmetic number, because the mean of its divisors is an integer number (9461772).

Almost surely, 2230455830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230455830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302776704).

230455830 is an abundant number, since it is smaller than the sum of its proper divisors (375097578).

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

230455830 is a wasteful number, since it uses less digits than its factorization.

230455830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 230455830 is about 15180.7717195141. The cubic root of 230455830 is about 613.0970593412.

The spelling of 230455830 in words is "two hundred thirty million, four hundred fifty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 317 330 634 951 1585 1902 2203 3170 3487 4406 4755 6609 6974 9510 10461 11015 13218 17435 20922 22030 24233 33045 34870 48466 52305 66090 72699 104610 121165 145398 242330 363495 698351 726990 1396702 2095053 3491755 4190106 6983510 7681861 10475265 15363722 20950530 23045583 38409305 46091166 76818610 115227915 230455830