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228211984 = 247111314249
BaseRepresentation
bin11011001101000…
…11110100010000
3120220102100222201
431212203310100
5431410240414
634351212544
75440525030
oct1546436420
9526370881
10228211984
11107902050
1264517154
13383844a0
14224478c0
151507d574
hexd9a3d10

228211984 has 80 divisors (see below), whose sum is σ = 593712000. Its totient is φ = 82068480.

The previous prime is 228211909. The next prime is 228211993. The reversal of 228211984 is 489112822.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 8892 + ... + 23140.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2228211984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228211984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856000).

228211984 is an abundant number, since it is smaller than the sum of its proper divisors (365500016).

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

228211984 is a wasteful number, since it uses less digits than its factorization.

228211984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288 (or 14282 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 228211984 is about 15106.6867313783. The cubic root of 228211984 is about 611.1007483226.

It can be divided in two parts, 228 and 211984, that added together give a palindrome (212212).

The spelling of 228211984 in words is "two hundred twenty-eight million, two hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 14249 16016 28498 56996 99743 113992 156739 185237 199486 227984 313478 370474 398972 626956 740948 797944 1097173 1253912 1296659 1481896 1595888 2037607 2194346 2507824 2593318 2963792 4075214 4388692 5186636 8150428 8777384 10373272 14263249 16300856 17554768 20746544 28526498 32601712 57052996 114105992 228211984