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22255200 = 25325211281
BaseRepresentation
bin101010011100…
…1011001100000
31112212200101200
41110321121200
521144131300
62113001200
7360110652
oct124713140
945780350
1022255200
1111620730
127553200
1347c2a76
142d546d2
151e49200
hex1539660

22255200 has 216 divisors, whose sum is σ = 85916376. Its totient is φ = 5376000.

The previous prime is 22255199. The next prime is 22255229. The reversal of 22255200 is 255222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 79060 + ... + 79340.

It is an arithmetic number, because the mean of its divisors is an integer number (397761).

Almost surely, 222255200 is an apocalyptic number.

22255200 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 22255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42958188).

22255200 is an abundant number, since it is smaller than the sum of its proper divisors (63661176).

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

22255200 is a wasteful number, since it uses less digits than its factorization.

22255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22255200 is about 4717.5417327248. The cubic root of 22255200 is about 281.2832257043.

The spelling of 22255200 in words is "twenty-two million, two hundred fifty-five thousand, two hundred".