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228045780 = 2236515641
BaseRepresentation
bin11011001011110…
…11001111010100
3120220002221000000
431211323033110
5431334431110
634343451300
75436233334
oct1545731724
9526087000
10228045780
111077a9196
1264456b30
1338326941
14224030c4
15150491c0
hexd97b3d4

228045780 has 84 divisors (see below), whose sum is σ = 718061652. Its totient is φ = 60808320.

The previous prime is 228045761. The next prime is 228045781. The reversal of 228045780 is 87540822.

It is a happy number.

228045780 is a `hidden beast` number, since 2 + 2 + 80 + 4 + 578 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176464656 + 51581124 = 13284^2 + 7182^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228045781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6760 + ... + 22400.

It is an arithmetic number, because the mean of its divisors is an integer number (8548353).

Almost surely, 2228045780 is an apocalyptic number.

228045780 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 228045780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359030826).

228045780 is an abundant number, since it is smaller than the sum of its proper divisors (490015872).

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

228045780 is a wasteful number, since it uses less digits than its factorization.

228045780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15668 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 228045780 is about 15101.1847217362. The cubic root of 228045780 is about 610.9523598904.

The spelling of 228045780 in words is "two hundred twenty-eight million, forty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 15641 31282 46923 62564 78205 93846 140769 156410 187692 234615 281538 312820 422307 469230 563076 703845 844614 938460 1266921 1407690 1689228 2111535 2533842 2815380 3800763 4223070 5067684 6334605 7601526 8446140 11402289 12669210 15203052 19003815 22804578 25338420 38007630 45609156 57011445 76015260 114022890 228045780