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230423616 = 263444449
BaseRepresentation
bin11011011101111…
…11110001000000
3121001120201210000
431232333301000
5432442023431
634510440000
75465365653
oct1556776100
9531521700
10230423616
11109082745
1265203000
133897a047
142286189a
15153689e6
hexdbbfc40

230423616 has 70 divisors (see below), whose sum is σ = 683063150. Its totient is φ = 76806144.

The previous prime is 230423587. The next prime is 230423639. The reversal of 230423616 is 616324032.

230423616 is a `hidden beast` number, since 2 + 3 + 0 + 42 + 3 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 222129216 + 8294400 = 14904^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

230423616 is a modest number, since divided by 23616 gives 2304 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 230423616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17041 + ... + 27408.

It is an arithmetic number, because the mean of its divisors is an integer number (9758045).

Almost surely, 2230423616 is an apocalyptic number.

It is an amenable number.

230423616 is an abundant number, since it is smaller than the sum of its proper divisors (452639534).

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

230423616 is an equidigital number, since it uses as much as digits as its factorization.

230423616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44473 (or 44454 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 230423616 is about 15179.7106691794. The cubic root of 230423616 is about 613.0684909904.

Adding to 230423616 its reverse (616324032), we get a palindrome (846747648).

The spelling of 230423616 in words is "two hundred thirty million, four hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 44449 88898 133347 177796 266694 355592 400041 533388 711184 800082 1066776 1200123 1422368 1600164 2133552 2400246 2844736 3200328 3600369 4267104 4800492 6400656 7200738 8534208 9600984 12801312 14401476 19201968 25602624 28802952 38403936 57605904 76807872 115211808 230423616