Search a number
-
+
230324252000 = 2553471225129
BaseRepresentation
bin1101011010000001100…
…1010010110101100000
3211000111200201021222212
43112200121102311200
512233201002031000
6253450504021252
722432435560653
oct3264031226540
9730450637885
10230324252000
1189753043597
123877b161828
131894792395b
14b20d61389a
155ed079cc35
hex35a0652d60

230324252000 has 96 divisors (see below), whose sum is σ = 577947726720. Its totient is φ = 90169420800.

The previous prime is 230324251991. The next prime is 230324252009. The reversal of 230324252000 is 252423032.

It is an interprime number because it is at equal distance from previous prime (230324251991) and next prime (230324252009).

It is a super-2 number, since 2×2303242520002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230324252009) 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, 424565 + ... + 800564.

It is an arithmetic number, because the mean of its divisors is an integer number (6020288820).

Almost surely, 2230324252000 is an apocalyptic number.

230324252000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230324252000 is an abundant number, since it is smaller than the sum of its proper divisors (347623474720).

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

230324252000 is a wasteful number, since it uses less digits than its factorization.

230324252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225201 (or 1225183 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 230324252000 its reverse (252423032), we get a palindrome (230576675032).

The spelling of 230324252000 in words is "two hundred thirty billion, three hundred twenty-four million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 752 800 940 1000 1175 1504 1880 2000 2350 3760 4000 4700 5875 7520 9400 11750 18800 23500 37600 47000 94000 188000 1225129 2450258 4900516 6125645 9801032 12251290 19602064 24502580 30628225 39204128 49005160 57581063 61256450 98010320 115162126 122512900 153141125 196020640 230324252 245025800 287905315 306282250 460648504 490051600 575810630 612564500 921297008 980103200 1151621260 1225129000 1439526575 1842594016 2303242520 2450258000 2879053150 4606485040 4900516000 5758106300 7197632875 9212970080 11516212600 14395265750 23032425200 28790531500 46064850400 57581063000 115162126000 230324252000