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22828900 = 22521671367
BaseRepresentation
bin101011100010…
…1011101100100
31120221211100211
41113011131210
521321011100
62133145204
7365020363
oct127053544
946854324
1022828900
1111982766
12778b204
134963c33
1430637da
15200e1ba
hex15c5764

22828900 has 36 divisors (see below), whose sum is σ = 49871808. Its totient is φ = 9070240.

The previous prime is 22828891. The next prime is 22828913. The reversal of 22828900 is 982822.

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 11 ways as a sum of consecutive naturals, for example, 16017 + ... + 17383.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 222828900 is an apocalyptic number.

22828900 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 22828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

22828900 is an abundant number, since it is smaller than the sum of its proper divisors (27042908).

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

22828900 is a wasteful number, since it uses less digits than its factorization.

22828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 22828900 is about 4777.9598156535. The cubic root of 22828900 is about 283.6797454589.

The spelling of 22828900 in words is "twenty-two million, eight hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 835 1367 1670 2734 3340 4175 5468 6835 8350 13670 16700 27340 34175 68350 136700 228289 456578 913156 1141445 2282890 4565780 5707225 11414450 22828900