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230213232 = 24331094889
BaseRepresentation
bin11011011100011…
…00011001110000
3121001012001012000
431232030121300
5432413310412
634502134000
75463531414
oct1556143160
9531161160
10230213232
11108a49677
1265121300
1338905362
1422808d44
15153264dc
hexdb8c670

230213232 has 80 divisors (see below), whose sum is σ = 666996000. Its totient is φ = 76018176.

The previous prime is 230213219. The next prime is 230213287. The reversal of 230213232 is 232312032.

It is a happy number.

230213232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 44644 + ... + 49532.

It is an arithmetic number, because the mean of its divisors is an integer number (8337450).

Almost surely, 2230213232 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 230213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333498000).

230213232 is an abundant number, since it is smaller than the sum of its proper divisors (436782768).

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

230213232 is a wasteful number, since it uses less digits than its factorization.

230213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230213232 is about 15172.7793103307. The cubic root of 230213232 is about 612.8818505789.

Adding to 230213232 its reverse (232312032), we get a palindrome (462525264).

The spelling of 230213232 in words is "two hundred thirty million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 981 1308 1744 1962 2616 2943 3924 4889 5232 5886 7848 9778 11772 14667 15696 19556 23544 29334 39112 44001 47088 58668 78224 88002 117336 132003 176004 234672 264006 352008 528012 532901 704016 1056024 1065802 1598703 2112048 2131604 3197406 4263208 4796109 6394812 8526416 9592218 12789624 14388327 19184436 25579248 28776654 38368872 57553308 76737744 115106616 230213232