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28223300 = 22527231753
BaseRepresentation
bin110101110101…
…0011101000100
31222002220002102
41223222131010
524211121200
62444531232
7461615450
oct153523504
958086072
1028223300
1114a27646
129550b18
135b023a1
143a69660
1527276d5
hex1aea744

28223300 has 72 divisors (see below), whose sum is σ = 73078656. Its totient is φ = 9250560.

The previous prime is 28223263. The next prime is 28223311. The reversal of 28223300 is 332282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 15224 + ... + 16976.

Almost surely, 228223300 is an apocalyptic number.

28223300 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 28223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36539328).

28223300 is an abundant number, since it is smaller than the sum of its proper divisors (44855356).

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

28223300 is a wasteful number, since it uses less digits than its factorization.

28223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 28223300 is about 5312.5605878898. The cubic root of 28223300 is about 304.4639873358.

Adding to 28223300 its reverse (332282), we get a palindrome (28555582).

The spelling of 28223300 in words is "twenty-eight million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 1753 2300 3220 3506 4025 7012 8050 8765 12271 16100 17530 24542 35060 40319 43825 49084 61355 80638 87650 122710 161276 175300 201595 245420 282233 306775 403190 564466 613550 806380 1007975 1128932 1227100 1411165 2015950 2822330 4031900 5644660 7055825 14111650 28223300