Search a number
-
+
2287385240 = 235717347221
BaseRepresentation
bin1000100001010110…
…1011101010011000
312220102010012122212
42020111223222120
514141032311430
61014550334252
7110453311430
oct21025535230
95812105585
102287385240
11a74195428
1253a05a388
132a5b793ba
14179b072c0
15d5c2db95
hex8856ba98

2287385240 has 64 divisors (see below), whose sum is σ = 5915972160. Its totient is φ = 779696640.

The previous prime is 2287385239. The next prime is 2287385263. The reversal of 2287385240 is 425837822.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24830 + ... + 72050.

It is an arithmetic number, because the mean of its divisors is an integer number (92437065).

Almost surely, 22287385240 is an apocalyptic number.

2287385240 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 2287385240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957986080).

2287385240 is an abundant number, since it is smaller than the sum of its proper divisors (3628586920).

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

2287385240 is a wasteful number, since it uses less digits than its factorization.

2287385240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47412 (or 47408 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 2287385240 is about 47826.6164389663. The cubic root of 2287385240 is about 1317.5884266737.

The spelling of 2287385240 in words is "two billion, two hundred eighty-seven million, three hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 173 280 346 692 865 1211 1384 1730 2422 3460 4844 6055 6920 9688 12110 24220 47221 48440 94442 188884 236105 330547 377768 472210 661094 944420 1322188 1652735 1888840 2644376 3305470 6610940 8169233 13221880 16338466 32676932 40846165 57184631 65353864 81692330 114369262 163384660 228738524 285923155 326769320 457477048 571846310 1143692620 2287385240