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228654090 = 234573823
BaseRepresentation
bin11011010000011…
…11110000001010
3120221020211110000
431220033300022
5432013412330
634404503430
75444346000
oct1550176012
9527224400
10228654090
11108084225
12646aab76
13384aa7a2
1422520a70
1515119560
hexda0fc0a

228654090 has 160 divisors (see below), whose sum is σ = 717868800. Its totient is φ = 52200288.

The previous prime is 228654079. The next prime is 228654103. The reversal of 228654090 is 90456822.

It is a happy number.

228654090 is a `hidden beast` number, since 2 + 28 + 6 + 540 + 90 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 277419 + ... + 278241.

It is an arithmetic number, because the mean of its divisors is an integer number (4486680).

Almost surely, 2228654090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228654090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358934400).

228654090 is an abundant number, since it is smaller than the sum of its proper divisors (489214710).

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

228654090 is an equidigital number, since it uses as much as digits as its factorization.

228654090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 228654090 is about 15121.3124430388. The cubic root of 228654090 is about 611.4951141606.

The spelling of 228654090 in words is "two hundred twenty-eight million, six hundred fifty-four thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 343 378 405 441 490 567 630 686 735 810 823 882 945 1029 1134 1323 1470 1646 1715 1890 2058 2205 2469 2646 2835 3087 3430 3969 4115 4410 4938 5145 5670 5761 6174 6615 7407 7938 8230 9261 10290 11522 12345 13230 14814 15435 17283 18522 19845 22221 24690 27783 28805 30870 34566 37035 39690 40327 44442 46305 51849 55566 57610 66663 74070 80654 86415 92610 103698 111105 120981 133326 138915 155547 172830 201635 222210 241962 259245 277830 282289 311094 333315 362943 403270 466641 518490 564578 604905 666630 725886 777735 846867 933282 1088829 1209810 1411445 1555470 1693734 1814715 2177658 2333205 2540601 2822890 3266487 3629430 4234335 4666410 5081202 5444145 6532974 7621803 8468670 10888290 12703005 15243606 16332435 22865409 25406010 32664870 38109015 45730818 76218030 114327045 228654090