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201113444 = 22721815669
BaseRepresentation
bin10111111110010…
…11111101100100
3112000102121210002
423333023331210
5402441112234
631542320432
74661302400
oct1377137544
9460377702
10201113444
11a3583564
1257429118
133288704c
141c9d2100
15129c927e
hexbfcbf64

201113444 has 36 divisors (see below), whose sum is σ = 411744060. Its totient is φ = 85700160.

The previous prime is 201113441. The next prime is 201113447. The reversal of 201113444 is 444311102.

It is an interprime number because it is at equal distance from previous prime (201113441) and next prime (201113447).

It can be written as a sum of positive squares in 2 ways, for example, as 18593344 + 182520100 = 4312^2 + 13510^2 .

It is a super-2 number, since 2×2011134442 = 80893234715082272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201113441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32642 + ... + 38310.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2201113444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205872030).

201113444 is an abundant number, since it is smaller than the sum of its proper divisors (210630616).

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

201113444 is a wasteful number, since it uses less digits than its factorization.

201113444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 201113444 is about 14181.4471757998. The cubic root of 201113444 is about 585.8867832545.

Adding to 201113444 its reverse (444311102), we get a palindrome (645424546).

The spelling of 201113444 in words is "two hundred one million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 724 1267 2534 5068 5669 8869 11338 17738 22676 35476 39683 79366 158732 277781 555562 1026089 1111124 2052178 4104356 7182623 14365246 28730492 50278361 100556722 201113444