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230235520 = 2752315641
BaseRepresentation
bin11011011100100…
…01110110000000
3121001020011202111
431232101312000
5432420014040
634502425104
75463653404
oct1556216600
9531204674
10230235520
11108a64399
1265132194
1338912548
1422813104
151532cdea
hexdb91d80

230235520 has 64 divisors (see below), whose sum is σ = 574374240. Its totient is φ = 88084480.

The previous prime is 230235479. The next prime is 230235527. The reversal of 230235520 is 25532032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 230235491 and 230235500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230235527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6900 + ... + 22540.

Almost surely, 2230235520 is an apocalyptic number.

230235520 is a gapful number since it is divisible by the number (20) 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 230235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287187120).

230235520 is an abundant number, since it is smaller than the sum of its proper divisors (344138720).

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

230235520 is a wasteful number, since it uses less digits than its factorization.

230235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 230235520 is about 15173.5137657696. The cubic root of 230235520 is about 612.9016285759.

Adding to 230235520 its reverse (25532032), we get a palindrome (255767552).

It can be divided in two parts, 230 and 235520, that multiplied together give a square (54169600 = 73602).

The spelling of 230235520 in words is "two hundred thirty million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 15641 31282 62564 78205 125128 156410 250256 312820 359743 500512 625640 719486 1001024 1251280 1438972 1798715 2002048 2502560 2877944 3597430 5005120 5755888 7194860 10010240 11511776 14389720 23023552 28779440 46047104 57558880 115117760 230235520