Search a number
-
+
22300000 = 2555223
BaseRepresentation
bin101010100010…
…0010101100000
31112221221211221
41111010111200
521202100000
62113544424
7360355402
oct125042540
945857757
1022300000
1111651358
127575114
13480a288
142d66b72
151e5761a
hex1544560

22300000 has 72 divisors (see below), whose sum is σ = 55121472. Its totient is φ = 8880000.

The previous prime is 22299961. The next prime is 22300001. The reversal of 22300000 is 322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300001) 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, 99889 + ... + 100111.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 222300000 is an apocalyptic number.

22300000 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 22300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560736).

22300000 is an abundant number, since it is smaller than the sum of its proper divisors (32821472).

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

22300000 is an frugal number, since it uses more digits than its factorization.

22300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 22300000 is about 4722.2875812470. The cubic root of 22300000 is about 281.4718414331.

Adding to 22300000 its reverse (322), we get a palindrome (22300322).

The spelling of 22300000 in words is "twenty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 223 250 400 446 500 625 800 892 1000 1115 1250 1784 2000 2230 2500 3125 3568 4000 4460 5000 5575 6250 7136 8920 10000 11150 12500 17840 20000 22300 25000 27875 35680 44600 50000 55750 89200 100000 111500 139375 178400 223000 278750 446000 557500 696875 892000 1115000 1393750 2230000 2787500 4460000 5575000 11150000 22300000