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4288230 = 2325293153
BaseRepresentation
bin10000010110111011100110
322001212100100
4100112323212
52044210410
6231524530
751310062
oct20267346
98055310
104288230
1124698a1
121529746
13b71b1b
147d8aa2
1559a8c0
hex416ee6

4288230 has 96 divisors (see below), whose sum is σ = 12130560. Its totient is φ = 1048320.

The previous prime is 4288223. The next prime is 4288253. The reversal of 4288230 is 328824.

4288230 is a `hidden beast` number, since 428 + 8 + 230 = 666.

It is a super-3 number, since 3×42882303 (a number of 21 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4288194 and 4288203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80884 + ... + 80936.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

Almost surely, 24288230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4288230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065280).

4288230 is an abundant number, since it is smaller than the sum of its proper divisors (7842330).

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

4288230 is a wasteful number, since it uses less digits than its factorization.

4288230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4288230 is about 2070.8041916125. The cubic root of 4288230 is about 162.4648286800.

The spelling of 4288230 in words is "four million, two hundred eighty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 31 45 53 58 62 87 90 93 106 145 155 159 174 186 261 265 279 290 310 318 435 465 477 522 530 558 795 870 899 930 954 1305 1395 1537 1590 1643 1798 2385 2610 2697 2790 3074 3286 4495 4611 4770 4929 5394 7685 8091 8215 8990 9222 9858 13485 13833 14787 15370 16182 16430 23055 24645 26970 27666 29574 40455 46110 47647 49290 69165 73935 80910 95294 138330 142941 147870 238235 285882 428823 476470 714705 857646 1429410 2144115 4288230