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230011232 = 25114713903
BaseRepresentation
bin11011011010110…
…11000101100000
3121000210210002112
431231123011200
5432340324412
634453534452
75462030453
oct1555330540
9530723075
10230011232
11108920930
1265044428
1338864429
142279549a
15152d6722
hexdb5b160

230011232 has 48 divisors (see below), whose sum is σ = 504548352. Its totient is φ = 102318720.

The previous prime is 230011231. The next prime is 230011259. The reversal of 230011232 is 232110032.

It is a happy number.

230011232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230011231) 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, 9593 + ... + 23495.

It is an arithmetic number, because the mean of its divisors is an integer number (10511424).

Almost surely, 2230011232 is an apocalyptic number.

230011232 is a gapful number since it is divisible by the number (22) 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 230011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252274176).

230011232 is an abundant number, since it is smaller than the sum of its proper divisors (274537120).

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

230011232 is a wasteful number, since it uses less digits than its factorization.

230011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13971 (or 13963 counting only the distinct ones).

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

The square root of 230011232 is about 15166.1211916561. The cubic root of 230011232 is about 612.7025409299.

Adding to 230011232 its reverse (232110032), we get a palindrome (462121264).

The spelling of 230011232 in words is "two hundred thirty million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 1034 1504 2068 4136 8272 13903 16544 27806 55612 111224 152933 222448 305866 444896 611732 653441 1223464 1306882 2446928 2613764 4893856 5227528 7187851 10455056 14375702 20910112 28751404 57502808 115005616 230011232