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22200948 = 22327118009
BaseRepresentation
bin101010010110…
…0001001110100
31112202220222100
41110230021310
521140412243
62111502100
7356463540
oct124541164
945686870
1022200948
11115939a0
127527930
1347a4173
142d3ca20
151e380d3
hex152c274

22200948 has 72 divisors (see below), whose sum is σ = 69975360. Its totient is φ = 5765760.

The previous prime is 22200947. The next prime is 22201001. The reversal of 22200948 is 84900222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200947) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1233 + ... + 6776.

It is an arithmetic number, because the mean of its divisors is an integer number (971880).

Almost surely, 222200948 is an apocalyptic number.

22200948 is a gapful number since it is divisible by the number (28) 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 22200948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34987680).

22200948 is an abundant number, since it is smaller than the sum of its proper divisors (47774412).

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

22200948 is a wasteful number, since it uses less digits than its factorization.

22200948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22200948 is about 4711.7881955793. The cubic root of 22200948 is about 281.0544762524.

The spelling of 22200948 in words is "twenty-two million, two hundred thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 8009 16018 24027 32036 48054 56063 72081 88099 96108 112126 144162 168189 176198 224252 264297 288324 336378 352396 504567 528594 616693 672756 792891 1009134 1057188 1233386 1585782 1850079 2018268 2466772 3171564 3700158 5550237 7400316 11100474 22200948