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230475520 = 2851116369
BaseRepresentation
bin11011011110011…
…00011100000000
3121001200100222101
431233030130000
5433000204040
634511520144
75466003202
oct1557143400
9531610871
10230475520
11109108740
1265229054
1338997862
1422876772
151537909a
hexdbcc700

230475520 has 72 divisors (see below), whose sum is σ = 602285040. Its totient is φ = 83804160.

The previous prime is 230475437. The next prime is 230475533. The reversal of 230475520 is 25574032.

It is a congruent number.

It is an unprimeable number.

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, 5896 + ... + 22264.

It is an arithmetic number, because the mean of its divisors is an integer number (8365070).

Almost surely, 2230475520 is an apocalyptic number.

230475520 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 230475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301142520).

230475520 is an abundant number, since it is smaller than the sum of its proper divisors (371809520).

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

230475520 is a wasteful number, since it uses less digits than its factorization.

230475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16401 (or 16387 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 230475520 is about 15181.4202234178. The cubic root of 230475520 is about 613.1145197186.

The spelling of 230475520 in words is "two hundred thirty million, four hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 16369 32738 65476 81845 130952 163690 180059 261904 327380 360118 523808 654760 720236 900295 1047616 1309520 1440472 1800590 2095232 2619040 2880944 3601180 4190464 5238080 5761888 7202360 10476160 11523776 14404720 20952320 23047552 28809440 46095104 57618880 115237760 230475520