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30227280 = 24352943101
BaseRepresentation
bin111001101001…
…1101101010000
32002212201000220
41303103231100
530214233110
62555513040
7514633116
oct163235520
962781026
1030227280
1116076226
12a158780
136354585
14402bab6
1529c1370
hex1cd3b50

30227280 has 160 divisors (see below), whose sum is σ = 100172160. Its totient is φ = 7526400.

The previous prime is 30227243. The next prime is 30227287. The reversal of 30227280 is 8272203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30227280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30227287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 299230 + ... + 299330.

It is an arithmetic number, because the mean of its divisors is an integer number (626076).

Almost surely, 230227280 is an apocalyptic number.

30227280 is a gapful number since it is divisible by the number (30) 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 30227280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

30227280 is an abundant number, since it is smaller than the sum of its proper divisors (69944880).

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

30227280 is a wasteful number, since it uses less digits than its factorization.

30227280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 30227280 is about 5497.9341574813. The cubic root of 30227280 is about 311.5059570979.

Adding to 30227280 its reverse (8272203), we get a palindrome (38499483).

The spelling of 30227280 in words is "thirty million, two hundred twenty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 43 48 58 60 80 86 87 101 116 120 129 145 172 174 202 215 232 240 258 290 303 344 348 404 430 435 464 505 516 580 606 645 688 696 808 860 870 1010 1032 1160 1212 1247 1290 1392 1515 1616 1720 1740 2020 2064 2320 2424 2494 2580 2929 3030 3440 3480 3741 4040 4343 4848 4988 5160 5858 6060 6235 6960 7482 8080 8686 8787 9976 10320 11716 12120 12470 13029 14645 14964 17372 17574 18705 19952 21715 23432 24240 24940 26058 29290 29928 34744 35148 37410 43430 43935 46864 49880 52116 58580 59856 65145 69488 70296 74820 86860 87870 99760 104232 117160 125947 130290 140592 149640 173720 175740 208464 234320 251894 260580 299280 347440 351480 377841 503788 521160 629735 702960 755682 1007576 1042320 1259470 1511364 1889205 2015152 2518940 3022728 3778410 5037880 6045456 7556820 10075760 15113640 30227280