Search a number
-
+
52224120 = 233251311159
BaseRepresentation
bin1100011100111…
…0000001111000
310122021021000200
43013032001320
5101332132440
65103202200
71202616624
oct307160170
9118237020
1052224120
112752a833
12155a6360
13aa86860
146d16184
1548b8c30
hex31ce078

52224120 has 96 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 12854016.

The previous prime is 52224091. The next prime is 52224163. The reversal of 52224120 is 2142225.

52224120 is a `hidden beast` number, since 522 + 24 + 120 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 52224093 and 52224102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900 + ... + 10259.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 252224120 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 52224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

52224120 is an abundant number, since it is smaller than the sum of its proper divisors (130576680).

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

52224120 is a wasteful number, since it uses less digits than its factorization.

52224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11189 (or 11182 counting only the distinct ones).

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

The square root of 52224120 is about 7226.6257686420. The cubic root of 52224120 is about 373.7865845629.

Adding to 52224120 its reverse (2142225), we get a palindrome (54366345).

It can be divided in two parts, 522 and 24120, that added together give a palindrome (24642).

The spelling of 52224120 in words is "fifty-two million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 11159 22318 33477 44636 55795 66954 89272 100431 111590 133908 145067 167385 200862 223180 267816 290134 334770 401724 435201 446360 502155 580268 669540 725335 803448 870402 1004310 1160536 1305603 1339080 1450670 1740804 2008620 2176005 2611206 2901340 3481608 4017240 4352010 5222412 5802680 6528015 8704020 10444824 13056030 17408040 26112060 52224120