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28218100 = 22522691049
BaseRepresentation
bin110101110100…
…1001011110100
31222002121221211
41223221023310
524210434400
62444451204
7461564341
oct153511364
958077854
1028218100
1114a23749
129549b04
135accc01
143a677c8
152725dba
hex1ae92f4

28218100 has 36 divisors (see below), whose sum is σ = 61519500. Its totient is φ = 11234560.

The previous prime is 28218061. The next prime is 28218103. The reversal of 28218100 is 181282.

It can be written as a sum of positive squares in 6 ways, for example, as 781456 + 27436644 = 884^2 + 5238^2 .

It is a super-2 number, since 2×282181002 = 1592522335220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28218103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26376 + ... + 27424.

It is an arithmetic number, because the mean of its divisors is an integer number (1708875).

Almost surely, 228218100 is an apocalyptic number.

28218100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28218100 is an abundant number, since it is smaller than the sum of its proper divisors (33301400).

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

28218100 is a wasteful number, since it uses less digits than its factorization.

28218100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 28218100 is about 5312.0711591619. The cubic root of 28218100 is about 304.4452875384.

Adding to 28218100 its reverse (181282), we get a palindrome (28399382).

The spelling of 28218100 in words is "twenty-eight million, two hundred eighteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1049 1076 1345 2098 2690 4196 5245 5380 6725 10490 13450 20980 26225 26900 52450 104900 282181 564362 1128724 1410905 2821810 5643620 7054525 14109050 28218100