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22728200 = 23521110331
BaseRepresentation
bin101011010110…
…0111000001000
31120202201020012
41112230320020
521304300300
62131051052
7364120655
oct126547010
946681205
1022728200
1111914040
127740a88
13492a151
143038c2c
151ede435
hex15ace08

22728200 has 48 divisors (see below), whose sum is σ = 57652560. Its totient is φ = 8264000.

The previous prime is 22728193. The next prime is 22728217. The reversal of 22728200 is 282722.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 2966 + ... + 7365.

It is an arithmetic number, because the mean of its divisors is an integer number (1201095).

Almost surely, 222728200 is an apocalyptic number.

22728200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22728200 is an abundant number, since it is smaller than the sum of its proper divisors (34924360).

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

22728200 is a wasteful number, since it uses less digits than its factorization.

22728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 22728200 is about 4767.4101984201. The cubic root of 22728200 is about 283.2620197300.

The spelling of 22728200 in words is "twenty-two million, seven hundred twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 10331 20662 41324 51655 82648 103310 113641 206620 227282 258275 413240 454564 516550 568205 909128 1033100 1136410 2066200 2272820 2841025 4545640 5682050 11364100 22728200