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230016624 = 2434792013
BaseRepresentation
bin11011011010111…
…00011001110000
3121000211001111020
431231130121300
5432341012444
634454015440
75462052255
oct1555343160
9530731436
10230016624
11108924992
1265047580
1338866a16
142279742c
15152d8119
hexdb5c670

230016624 has 20 divisors (see below), whose sum is σ = 594209736. Its totient is φ = 76672192.

The previous prime is 230016623. The next prime is 230016643. The reversal of 230016624 is 426610032.

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 = 230016594 and 230016603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230016623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2395959 + ... + 2396054.

Almost surely, 2230016624 is an apocalyptic number.

230016624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230016624 is an abundant number, since it is smaller than the sum of its proper divisors (364193112).

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

230016624 is a wasteful number, since it uses less digits than its factorization.

230016624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792024 (or 4792018 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 230016624 is about 15166.2989552494. The cubic root of 230016624 is about 612.7073286183.

Adding to 230016624 its reverse (426610032), we get a palindrome (656626656).

The spelling of 230016624 in words is "two hundred thirty million, sixteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4792013 9584026 14376039 19168052 28752078 38336104 57504156 76672208 115008312 230016624