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230209504 = 2575917419
BaseRepresentation
bin11011011100010…
…11011111100000
3121001011212001221
431232023133200
5432413201004
634502104424
75463514510
oct1556133740
9531155057
10230209504
11108a46898
126511b114
1338903755
1422807840
1515325354
hexdb8b7e0

230209504 has 48 divisors (see below), whose sum is σ = 526780800. Its totient is φ = 96983424.

The previous prime is 230209501. The next prime is 230209517. The reversal of 230209504 is 405902032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230209501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4507 + ... + 21925.

It is an arithmetic number, because the mean of its divisors is an integer number (10974600).

Almost surely, 2230209504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230209504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263390400).

230209504 is an abundant number, since it is smaller than the sum of its proper divisors (296571296).

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

230209504 is a wasteful number, since it uses less digits than its factorization.

230209504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17495 (or 17487 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 230209504 is about 15172.6564582475. The cubic root of 230209504 is about 612.8785422896.

The spelling of 230209504 in words is "two hundred thirty million, two hundred nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3304 6608 13216 17419 34838 69676 121933 139352 243866 278704 487732 557408 975464 1027721 1950928 2055442 3901856 4110884 7194047 8221768 14388094 16443536 28776188 32887072 57552376 115104752 230209504