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22205196 = 223213172791
BaseRepresentation
bin101010010110…
…1001100001100
31112210010210200
41110231030030
521141031241
62111533500
7356512116
oct124551414
945703720
1022205196
1111597102
12752a290
1347a6090
142d403b6
151e394b6
hex152d30c

22205196 has 72 divisors (see below), whose sum is σ = 64026144. Its totient is φ = 6428160.

The previous prime is 22205177. The next prime is 22205201. The reversal of 22205196 is 69150222.

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 23 ways as a sum of consecutive naturals, for example, 6561 + ... + 9351.

It is an arithmetic number, because the mean of its divisors is an integer number (889252).

Almost surely, 222205196 is an apocalyptic number.

22205196 is a gapful number since it is divisible by the number (26) 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 22205196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32013072).

22205196 is an abundant number, since it is smaller than the sum of its proper divisors (41820948).

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

22205196 is a wasteful number, since it uses less digits than its factorization.

22205196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 22205196 is about 4712.2389582872. The cubic root of 22205196 is about 281.0724010617.

The spelling of 22205196 in words is "twenty-two million, two hundred five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 2791 3978 5582 7956 8373 11164 16746 25119 33492 36283 47447 50238 72566 94894 100476 108849 142341 145132 189788 217698 284682 326547 427023 435396 569364 616811 653094 854046 1233622 1306188 1708092 1850433 2467244 3700866 5551299 7401732 11102598 22205196