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230522760 = 23345132421
BaseRepresentation
bin11011011110101…
…11111110001000
3121001202202210000
431233113332020
5433003212020
634512523000
75466261006
oct1557277610
9531682700
10230522760
11109140186
1265250460
13389b3200
1422889a76
1515388090
hexdbd7f88

230522760 has 240 divisors, whose sum is σ = 840991140. Its totient is φ = 56609280.

The previous prime is 230522753. The next prime is 230522777. The reversal of 230522760 is 67225032.

It can be written as a sum of positive squares in 6 ways, for example, as 272484 + 230250276 = 522^2 + 15174^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 547350 + ... + 547770.

Almost surely, 2230522760 is an apocalyptic number.

230522760 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 230522760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420495570).

230522760 is an abundant number, since it is smaller than the sum of its proper divisors (610468380).

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

230522760 is a wasteful number, since it uses less digits than its factorization.

230522760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230522760 is about 15182.9759928678. The cubic root of 230522760 is about 613.1564063816.

Adding to 230522760 its reverse (67225032), we get a palindrome (297747792).

The spelling of 230522760 in words is "two hundred thirty million, five hundred twenty-two thousand, seven hundred sixty".