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230893432 = 23711596353
BaseRepresentation
bin11011100001100…
…10011101111000
3121002110121020121
431300302131320
5433102042212
634524503024
75502363460
oct1560623570
9532417217
10230893432
11109373720
12653aaa74
1338ab2b43
1422944ba0
151540cd07
hexdc32778

230893432 has 64 divisors (see below), whose sum is σ = 548985600. Its totient is φ = 88419840.

The previous prime is 230893423. The next prime is 230893441. The reversal of 230893432 is 234398032.

It is an interprime number because it is at equal distance from previous prime (230893423) and next prime (230893441).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33168 + ... + 39520.

It is an arithmetic number, because the mean of its divisors is an integer number (8577900).

Almost surely, 2230893432 is an apocalyptic number.

230893432 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 230893432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274492800).

230893432 is an abundant number, since it is smaller than the sum of its proper divisors (318092168).

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

230893432 is a wasteful number, since it uses less digits than its factorization.

230893432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 230893432 is about 15195.1779193269. The cubic root of 230893432 is about 613.4848746002.

The spelling of 230893432 in words is "two hundred thirty million, eight hundred ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 59 77 88 118 154 236 308 413 472 616 649 826 1298 1652 2596 3304 4543 5192 6353 9086 12706 18172 25412 36344 44471 50824 69883 88942 139766 177884 279532 355768 374827 489181 559064 749654 978362 1499308 1956724 2623789 2998616 3913448 4123097 5247578 8246194 10495156 16492388 20990312 28861679 32984776 57723358 115446716 230893432