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228013056 = 210342749
BaseRepresentation
bin11011001011100…
…11010000000000
3120220001021010000
431211303100000
5431332404211
634343040000
75436036045
oct1545632000
9526037100
10228013056
11107786647
1264440000
1338314a8b
14223d51cc
151503e656
hexd973400

228013056 has 110 divisors (see below), whose sum is σ = 681139250. Its totient is φ = 75976704.

The previous prime is 228013033. The next prime is 228013069. The reversal of 228013056 is 650310822.

It can be written as a sum of positive squares in only one way, i.e., 153363456 + 74649600 = 12384^2 + 8640^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81570 + ... + 84318.

It is an arithmetic number, because the mean of its divisors is an integer number (6192175).

Almost surely, 2228013056 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 228013056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340569625).

228013056 is an abundant number, since it is smaller than the sum of its proper divisors (453126194).

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

228013056 is an equidigital number, since it uses as much as digits as its factorization.

228013056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 228013056 is about 15100.1011917139. The cubic root of 228013056 is about 610.9231351131.

Adding to 228013056 its reverse (650310822), we get a palindrome (878323878).

The spelling of 228013056 in words is "two hundred twenty-eight million, thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 2749 3072 3456 4608 5184 5498 6912 8247 9216 10368 10996 13824 16494 20736 21992 24741 27648 32988 41472 43984 49482 65976 74223 82944 87968 98964 131952 148446 175936 197928 222669 263904 296892 351872 395856 445338 527808 593784 703744 791712 890676 1055616 1187568 1407488 1583424 1781352 2111232 2375136 2814976 3166848 3562704 4222464 4750272 6333696 7125408 8444928 9500544 12667392 14250816 19001088 25334784 28501632 38002176 57003264 76004352 114006528 228013056