Search a number
-
+
22203181 = 7111341541
BaseRepresentation
bin101010010110…
…0101100101101
31112210001001001
41110230230231
521141000211
62111520301
7356503210
oct124545455
945701031
1022203181
1111595640
127529091
1347a51a0
142d3d777
151e38ac1
hex152cb2d

22203181 has 32 divisors (see below), whose sum is σ = 30594816. Its totient is φ = 15552000.

The previous prime is 22203163. The next prime is 22203193. The reversal of 22203181 is 18130222.

It is a 5-Lehmer number, since φ(22203181) divides (22203181-1)5.

It is a cyclic number.

It is not a de Polignac number, because 22203181 - 27 = 22203053 is a prime.

It is a super-2 number, since 2×222031812 = 985962493037522, which contains 22 as substring.

It is a deceptive number, since it divides R22203180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22203101) 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 31 ways as a sum of consecutive naturals, for example, 40771 + ... + 41311.

It is an arithmetic number, because the mean of its divisors is an integer number (956088).

It is a Poulet number, since it divides 222203180-1.

Almost surely, 222203181 is an apocalyptic number.

It is an amenable number.

22203181 is a deficient number, since it is larger than the sum of its proper divisors (8391635).

22203181 is a wasteful number, since it uses less digits than its factorization.

22203181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 22203181 is about 4712.0251484898. The cubic root of 22203181 is about 281.0638988771.

It can be divided in two parts, 22 and 203181, that added together give a triangular number (203203 = T637).

The spelling of 22203181 in words is "twenty-two million, two hundred three thousand, one hundred eighty-one".

Divisors: 1 7 11 13 41 77 91 143 287 451 533 541 1001 3157 3731 3787 5863 5951 7033 22181 41041 41657 49231 77363 155267 243991 288353 541541 1707937 2018471 3171883 22203181