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230234424 = 23373737039
BaseRepresentation
bin11011011100100…
…01100100111000
3121001020010020220
431232101210320
5432420000144
634502420040
75463650250
oct1556214470
9531203226
10230234424
11108a63592
1265131620
1338911bb4
1422812960
151532c919
hexdb91938

230234424 has 64 divisors (see below), whose sum is σ = 675609600. Its totient is φ = 64001664.

The previous prime is 230234423. The next prime is 230234467. The reversal of 230234424 is 424432032.

230234424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2302344242 = 106015779989223552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230234394 and 230234403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230234423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12304 + ... + 24735.

It is an arithmetic number, because the mean of its divisors is an integer number (10556400).

Almost surely, 2230234424 is an apocalyptic number.

230234424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230234424 is an abundant number, since it is smaller than the sum of its proper divisors (445375176).

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

230234424 is a wasteful number, since it uses less digits than its factorization.

230234424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37092 (or 37088 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 230234424 is about 15173.4776501631. The cubic root of 230234424 is about 612.9006560338.

Adding to 230234424 its reverse (424432032), we get a palindrome (654666456).

The spelling of 230234424 in words is "two hundred thirty million, two hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 37039 74078 111117 148156 222234 259273 296312 444468 518546 777819 888936 1037092 1370443 1555638 2074184 2740886 3111276 4111329 5481772 6222552 8222658 9593101 10963544 16445316 19186202 28779303 32890632 38372404 57558606 76744808 115117212 230234424