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22205850 = 2352317467
BaseRepresentation
bin101010010110…
…1010110011010
31112210011200220
41110231112122
521141041400
62111540510
7356514042
oct124552632
945704626
1022205850
1111597647
12752a736
1347a6474
142d40722
151e397a0
hex152d59a

22205850 has 48 divisors (see below), whose sum is σ = 55362528. Its totient is φ = 5890240.

The previous prime is 22205849. The next prime is 22205857. The reversal of 22205850 is 5850222.

It is a self number, because there is not a number n which added to its sum of digits gives 22205850.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205857) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47317 + ... + 47783.

It is an arithmetic number, because the mean of its divisors is an integer number (1153386).

Almost surely, 222205850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22205850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27681264).

22205850 is an abundant number, since it is smaller than the sum of its proper divisors (33156678).

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

22205850 is a wasteful number, since it uses less digits than its factorization.

22205850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 22205850 is about 4712.3083515407. The cubic root of 22205850 is about 281.0751604690.

The spelling of 22205850 in words is "twenty-two million, two hundred five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 317 467 634 934 951 1401 1585 1902 2335 2802 3170 4670 4755 7005 7925 9510 11675 14010 15850 23350 23775 35025 47550 70050 148039 296078 444117 740195 888234 1480390 2220585 3700975 4441170 7401950 11102925 22205850