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28822100 = 22522331237
BaseRepresentation
bin110110111110…
…0101001010100
32000020022111012
41231330221110
524334301400
62505431352
7466661306
oct155745124
960208435
1028822100
11152a651a
12979b558
135c81ac8
143b83976
1527e4d35
hex1b7ca54

28822100 has 36 divisors (see below), whose sum is σ = 62863164. Its totient is φ = 11470080.

The previous prime is 28822099. The next prime is 28822103. The reversal of 28822100 is 122882.

It can be written as a sum of positive squares in 6 ways, for example, as 795664 + 28026436 = 892^2 + 5294^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28822103) 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, 22682 + ... + 23918.

It is an arithmetic number, because the mean of its divisors is an integer number (1746199).

Almost surely, 228822100 is an apocalyptic number.

28822100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28822100 is an abundant number, since it is smaller than the sum of its proper divisors (34041064).

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

28822100 is a wasteful number, since it uses less digits than its factorization.

28822100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 28822100 is about 5368.6217970723. The cubic root of 28822100 is about 306.6021577187.

Adding to 28822100 its reverse (122882), we get a palindrome (28944982).

The spelling of 28822100 in words is "twenty-eight million, eight hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 932 1165 1237 2330 2474 4660 4948 5825 6185 11650 12370 23300 24740 30925 61850 123700 288221 576442 1152884 1441105 2882210 5764420 7205525 14411050 28822100