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28222000 = 2453103137
BaseRepresentation
bin110101110101…
…0001000110000
31222002211022021
41223222020300
524211101000
62444521224
7461611612
oct153521060
958084267
1028222000
1114a26674
129550214
135b01911
143a68db2
15272711a
hex1aea230

28222000 has 80 divisors (see below), whose sum is σ = 69406272. Its totient is φ = 11097600.

The previous prime is 28221971. The next prime is 28222021. The reversal of 28222000 is 22282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 205932 + ... + 206068.

Almost surely, 228222000 is an apocalyptic number.

28222000 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 28222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34703136).

28222000 is an abundant number, since it is smaller than the sum of its proper divisors (41184272).

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

28222000 is a wasteful number, since it uses less digits than its factorization.

28222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 28222000 is about 5312.4382349351. The cubic root of 28222000 is about 304.4593126018.

Adding to 28222000 its reverse (22282), we get a palindrome (28244282).

The spelling of 28222000 in words is "twenty-eight million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 125 137 200 206 250 274 400 412 500 515 548 685 824 1000 1030 1096 1370 1648 2000 2060 2192 2575 2740 3425 4120 5150 5480 6850 8240 10300 10960 12875 13700 14111 17125 20600 25750 27400 28222 34250 41200 51500 54800 56444 68500 70555 103000 112888 137000 141110 206000 225776 274000 282220 352775 564440 705550 1128880 1411100 1763875 2822200 3527750 5644400 7055500 14111000 28222000