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230510048 = 25233110103
BaseRepresentation
bin11011011110101…
…00110111100000
3121001202010100012
431233110313200
5433002310143
634512344052
75466205646
oct1557246740
9531663305
10230510048
1110913167a
1265245028
13389aa4a2
1422885196
1515384418
hexdbd4de0

230510048 has 48 divisors (see below), whose sum is σ = 488871936. Its totient is φ = 106677120.

The previous prime is 230510041. The next prime is 230510051. The reversal of 230510048 is 840015032.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230510041) 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, 17765 + ... + 27867.

It is an arithmetic number, because the mean of its divisors is an integer number (10184832).

Almost surely, 2230510048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230510048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244435968).

230510048 is an abundant number, since it is smaller than the sum of its proper divisors (258361888).

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

230510048 is a wasteful number, since it uses less digits than its factorization.

230510048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 230510048 is about 15182.5573603395. The cubic root of 230510048 is about 613.1451354952.

The spelling of 230510048 in words is "two hundred thirty million, five hundred ten thousand, forty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2852 5704 10103 11408 20206 22816 40412 80824 161648 232369 313193 323296 464738 626386 929476 1252772 1858952 2505544 3717904 5011088 7203439 7435808 10022176 14406878 28813756 57627512 115255024 230510048