Search a number
-
+
52401222 = 23323311361
BaseRepresentation
bin1100011111100…
…1010001000110
310122121020222000
43013321101012
5101403314342
65111050130
71204255146
oct307712106
9118536860
1052401222
11276408a5
1215670946
13ab19353
146d60926
15490144c
hex31f9446

52401222 has 64 divisors (see below), whose sum is σ = 125521920. Its totient is φ = 16156800.

The previous prime is 52401197. The next prime is 52401229. The reversal of 52401222 is 22210425.

52401222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 52401195 and 52401204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52401229) 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, 37822 + ... + 39182.

It is an arithmetic number, because the mean of its divisors is an integer number (1961280).

Almost surely, 252401222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52401222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62760960).

52401222 is an abundant number, since it is smaller than the sum of its proper divisors (73120698).

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

52401222 is a wasteful number, since it uses less digits than its factorization.

52401222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 52401222 is about 7238.8688342862. The cubic root of 52401222 is about 374.2086351526.

Adding to 52401222 its reverse (22210425), we get a palindrome (74611647).

The spelling of 52401222 in words is "fifty-two million, four hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 138 186 207 279 414 558 621 713 837 1242 1361 1426 1674 2139 2722 4083 4278 6417 8166 12249 12834 19251 24498 31303 36747 38502 42191 62606 73494 84382 93909 126573 187818 253146 281727 379719 563454 759438 845181 970393 1139157 1690362 1940786 2278314 2911179 5822358 8733537 17467074 26200611 52401222