Search a number
-
+
44201214 = 235103883
BaseRepresentation
bin1010100010011…
…1010011111110
310002011122200000
42220213103332
542303414324
64215215130
71044463341
oct250472376
9102148600
1044201214
1122a50032
12129774a6
139207b85
145c28458
153d319c9
hex2a274fe

44201214 has 48 divisors (see below), whose sum is σ = 100394112. Its totient is φ = 14574168.

The previous prime is 44201203. The next prime is 44201219. The reversal of 44201214 is 41210244.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44201219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49617 + ... + 50499.

It is an arithmetic number, because the mean of its divisors is an integer number (2091544).

Almost surely, 244201214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44201214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50197056).

44201214 is an abundant number, since it is smaller than the sum of its proper divisors (56192898).

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

44201214 is a wasteful number, since it uses less digits than its factorization.

44201214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 44201214 is about 6648.3993562361. The cubic root of 44201214 is about 353.5721633987.

Adding to 44201214 its reverse (41210244), we get a palindrome (85411458).

The spelling of 44201214 in words is "forty-four million, two hundred one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 243 309 486 618 883 927 1766 1854 2649 2781 5298 5562 7947 8343 15894 16686 23841 25029 47682 50058 71523 90949 143046 181898 214569 272847 429138 545694 818541 1637082 2455623 4911246 7366869 14733738 22100607 44201214