Search a number
-
+
201844044 = 223223317769
BaseRepresentation
bin11000000011111…
…10010101001100
3112001210201222100
430001332111030
5403133002134
632010115100
75000434413
oct1401762514
9461721870
10201844044
11a3a32466
125771ba90
1332a8175c
141cb4247a
1512ac0999
hexc07e54c

201844044 has 72 divisors (see below), whose sum is σ = 534774240. Its totient is φ = 64069632.

The previous prime is 201844037. The next prime is 201844057. The reversal of 201844044 is 440448102.

It is a happy number.

201844044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201843999 and 201844017.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 262092 + ... + 262860.

It is an arithmetic number, because the mean of its divisors is an integer number (7427420).

Almost surely, 2201844044 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 201844044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267387120).

201844044 is an abundant number, since it is smaller than the sum of its proper divisors (332930196).

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

201844044 is a wasteful number, since it uses less digits than its factorization.

201844044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 201844044 is about 14207.1828312301. The cubic root of 201844044 is about 586.5953909334.

The spelling of 201844044 in words is "two hundred one million, eight hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 317 414 634 769 828 951 1268 1538 1902 2307 2853 3076 3804 4614 5706 6921 7291 9228 11412 13842 14582 17687 21873 27684 29164 35374 43746 53061 65619 70748 87492 106122 131238 159183 212244 243773 262476 318366 487546 636732 731319 975092 1462638 2193957 2925276 4387914 5606779 8775828 11213558 16820337 22427116 33640674 50461011 67281348 100922022 201844044