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230432532 = 2231119139661
BaseRepresentation
bin11011011110000…
…01111100010100
3121001121012000020
431233001330110
5432442320112
634510545140
75465433651
oct1557017424
9531535006
10230432532
11109089410
12652081b0
1338981115
1422864c28
151536b48c
hexdbc1f14

230432532 has 96 divisors (see below), whose sum is σ = 622809600. Its totient is φ = 65577600.

The previous prime is 230432519. The next prime is 230432539. The reversal of 230432532 is 235234032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230432539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348282 + ... + 348942.

It is an arithmetic number, because the mean of its divisors is an integer number (6487600).

Almost surely, 2230432532 is an apocalyptic number.

230432532 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 230432532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311404800).

230432532 is an abundant number, since it is smaller than the sum of its proper divisors (392377068).

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

230432532 is a wasteful number, since it uses less digits than its factorization.

230432532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 230432532 is about 15180.0043478255. The cubic root of 230432532 is about 613.0763982357.

Adding to 230432532 its reverse (235234032), we get a palindrome (465666564).

The spelling of 230432532 in words is "two hundred thirty million, four hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 139 209 228 278 417 418 556 627 661 834 836 1254 1322 1529 1668 1983 2508 2641 2644 3058 3966 4587 5282 6116 7271 7923 7932 9174 10564 12559 14542 15846 18348 21813 25118 29051 29084 31692 37677 43626 50236 58102 75354 87153 87252 91879 116204 138149 150708 174306 183758 275637 276298 348612 367516 414447 551274 552596 828894 1010669 1102548 1657788 1745701 2021338 3032007 3491402 4042676 5237103 6064014 6982804 10474206 12128028 19202711 20948412 38405422 57608133 76810844 115216266 230432532