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28822200 = 23352112397
BaseRepresentation
bin110110111110…
…0101010111000
32000020022121220
41231330222320
524334302300
62505432040
7466661511
oct155745270
960208556
1028822200
11152a6600
12979b620
135c81b74
143b83a08
1527e4da0
hex1b7cab8

28822200 has 144 divisors (see below), whose sum is σ = 98457240. Its totient is φ = 6969600.

The previous prime is 28822163. The next prime is 28822207. The reversal of 28822200 is 222882.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28822207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72402 + ... + 72798.

Almost surely, 228822200 is an apocalyptic number.

28822200 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 28822200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49228620).

28822200 is an abundant number, since it is smaller than the sum of its proper divisors (69635040).

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

28822200 is a wasteful number, since it uses less digits than its factorization.

28822200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 28822200 is about 5368.6311104415. The cubic root of 28822200 is about 306.6025123098.

It can be divided in two parts, 28 and 822200, that added together give a palindrome (822228).

The spelling of 28822200 in words is "twenty-eight million, eight hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 397 440 484 550 600 605 660 726 794 825 968 1100 1191 1210 1320 1452 1588 1650 1815 1985 2200 2382 2420 2904 3025 3176 3300 3630 3970 4367 4764 4840 5955 6050 6600 7260 7940 8734 9075 9528 9925 11910 12100 13101 14520 15880 17468 18150 19850 21835 23820 24200 26202 29775 34936 36300 39700 43670 47640 48037 52404 59550 65505 72600 79400 87340 96074 104808 109175 119100 131010 144111 174680 192148 218350 238200 240185 262020 288222 327525 384296 436700 480370 524040 576444 655050 720555 873400 960740 1152888 1200925 1310100 1441110 1921480 2401850 2620200 2882220 3602775 4803700 5764440 7205550 9607400 14411100 28822200