Search a number
-
+
20222300 = 2252724127
BaseRepresentation
bin100110100100…
…1000101011100
31102001101210002
41031021011130
520134103200
62001233432
7333613100
oct115110534
942041702
1020222300
111046234a
126932878
134260677
142985900
151b96bd5
hex134915c

20222300 has 54 divisors (see below), whose sum is σ = 51059232. Its totient is φ = 6931680.

The previous prime is 20222297. The next prime is 20222329. The reversal of 20222300 is 322202.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 2837 + ... + 6963.

Almost surely, 220222300 is an apocalyptic number.

20222300 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 20222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25529616).

20222300 is an abundant number, since it is smaller than the sum of its proper divisors (30836932).

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

20222300 is a wasteful number, since it uses less digits than its factorization.

20222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 20222300 is about 4496.9211689777. The cubic root of 20222300 is about 272.4437501381.

Adding to 20222300 its reverse (322202), we get a palindrome (20544502).

The spelling of 20222300 in words is "twenty million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4127 4900 8254 16508 20635 28889 41270 57778 82540 103175 115556 144445 202223 206350 288890 404446 412700 577780 722225 808892 1011115 1444450 2022230 2888900 4044460 5055575 10111150 20222300