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230123232 = 25326113099
BaseRepresentation
bin11011011011101…
…10011011100000
3121001000110201200
431231312123200
5432402420412
634500201200
75463005133
oct1555663340
9531013650
10230123232
11108997a99
1265099200
13388a33c1
14227c421a
15153099dc
hexdb766e0

230123232 has 72 divisors (see below), whose sum is σ = 665191800. Its totient is φ = 75444480.

The previous prime is 230123213. The next prime is 230123251. The reversal of 230123232 is 232321032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230123213) and next prime (230123251).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2301232322 = 105913403812251648, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11019 + ... + 24117.

It is an arithmetic number, because the mean of its divisors is an integer number (9238775).

Almost surely, 2230123232 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 230123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332595900).

230123232 is an abundant number, since it is smaller than the sum of its proper divisors (435068568).

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

230123232 is a wasteful number, since it uses less digits than its factorization.

230123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13176 (or 13165 counting only the distinct ones).

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

The square root of 230123232 is about 15169.8131827653. The cubic root of 230123232 is about 612.8019731023.

Adding to 230123232 its reverse (232321032), we get a palindrome (462444264).

It can be divided in two parts, 23012 and 3232, that added together give a square (26244 = 1622).

The spelling of 230123232 in words is "two hundred thirty million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 13099 17568 26198 39297 52396 78594 104792 117891 157188 209584 235782 314376 419168 471564 628752 799039 943128 1257504 1598078 1886256 2397117 3196156 3772512 4794234 6392312 7191351 9588468 12784624 14382702 19176936 25569248 28765404 38353872 57530808 76707744 115061616 230123232