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28218300 = 223521117503
BaseRepresentation
bin110101110100…
…1001110111100
31222002122020020
41223221032330
524210441200
62444452140
7461565045
oct153511674
958078206
1028218300
1114a23910
12954a050
135b00026
143a678cc
152725ea0
hex1ae93bc

28218300 has 144 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 6425600.

The previous prime is 28218293. The next prime is 28218319. The reversal of 28218300 is 381282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55849 + ... + 56351.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 228218300 is an apocalyptic number.

28218300 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 28218300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

28218300 is an abundant number, since it is smaller than the sum of its proper divisors (66275652).

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

28218300 is a wasteful number, since it uses less digits than its factorization.

28218300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28218300 is about 5312.0899841776. The cubic root of 28218300 is about 304.4460068038.

Adding to 28218300 its reverse (381282), we get a palindrome (28599582).

The spelling of 28218300 in words is "twenty-eight million, two hundred eighteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 503 510 550 561 660 748 825 850 935 1006 1020 1100 1122 1275 1509 1650 1700 1870 2012 2244 2515 2550 2805 3018 3300 3740 4675 5030 5100 5533 5610 6036 7545 8551 9350 10060 11066 11220 12575 14025 15090 16599 17102 18700 22132 25150 25653 27665 28050 30180 33198 34204 37725 42755 50300 51306 55330 56100 66396 75450 82995 85510 94061 102612 110660 128265 138325 150900 165990 171020 188122 213775 256530 276650 282183 331980 376244 414975 427550 470305 513060 553300 564366 641325 829950 855100 940610 1128732 1282650 1410915 1659900 1881220 2351525 2565300 2821830 4703050 5643660 7054575 9406100 14109150 28218300