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230799744 = 2732728621
BaseRepresentation
bin11011100000110…
…11100110000000
3121002021211201200
431300123212000
5433041042434
634522501200
75501523360
oct1560334600
9532254650
10230799744
1110930a29a
1265364800
1338a7c2c6
142291c9a0
15153e0199
hexdc1b980

230799744 has 96 divisors (see below), whose sum is σ = 759055440. Its totient is φ = 65940480.

The previous prime is 230799739. The next prime is 230799757. The reversal of 230799744 is 447997032.

230799744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 230799744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6247 + ... + 22374.

Almost surely, 2230799744 is an apocalyptic number.

230799744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230799744 is an abundant number, since it is smaller than the sum of its proper divisors (528255696).

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

230799744 is a wasteful number, since it uses less digits than its factorization.

230799744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28648 (or 28633 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 230799744 is about 15192.0947864342. The cubic root of 230799744 is about 613.4018868973.

It can be divided in two parts, 23079 and 9744, that added together give a palindrome (32823).

The spelling of 230799744 in words is "two hundred thirty million, seven hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 28621 57242 85863 114484 171726 200347 228968 257589 343452 400694 457936 515178 601041 686904 801388 915872 1030356 1202082 1373808 1602776 1803123 1831744 2060712 2404164 2747616 3205552 3606246 3663488 4121424 4808328 5495232 6411104 7212492 8242848 9616656 10990464 12822208 14424984 16485696 19233312 25644416 28849968 32971392 38466624 57699936 76933248 115399872 230799744