Search a number
-
+
22802200 = 2352234957
BaseRepresentation
bin101011011111…
…0111100011000
31120220110201221
41112332330120
521314132300
62132421424
7364546501
oct126767430
946813657
1022802200
11119646a3
127777874
134954a35
143057ba8
15200631a
hex15bef18

22802200 has 48 divisors (see below), whose sum is σ = 55331280. Its totient is φ = 8722560.

The previous prime is 22802183. The next prime is 22802201. The reversal of 22802200 is 220822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22802201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2122 + ... + 7078.

It is an arithmetic number, because the mean of its divisors is an integer number (1152735).

Almost surely, 222802200 is an apocalyptic number.

22802200 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 22802200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27665640).

22802200 is an abundant number, since it is smaller than the sum of its proper divisors (32529080).

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

22802200 is a wasteful number, since it uses less digits than its factorization.

22802200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 22802200 is about 4775.1649186180. The cubic root of 22802200 is about 283.5691078607.

The spelling of 22802200 in words is "twenty-two million, eight hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 4957 9914 19828 24785 39656 49570 99140 114011 123925 198280 228022 247850 456044 495700 570055 912088 991400 1140110 2280220 2850275 4560440 5700550 11401100 22802200