Search a number
-
+
55112220 = 223252231373
BaseRepresentation
bin1101001000111…
…1001000011100
310211200222202100
43102033020130
5103102042340
65245125100
71236306012
oct322171034
9124628670
1055112220
1129122699
1216559790
13b5582a7
1474688b2
154c89830
hex348f21c

55112220 has 72 divisors (see below), whose sum is σ = 168045696. Its totient is φ = 14620032.

The previous prime is 55112207. The next prime is 55112221. The reversal of 55112220 is 2221155.

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 = 55112193 and 55112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55112221) 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, 39454 + ... + 40826.

It is an arithmetic number, because the mean of its divisors is an integer number (2333968).

Almost surely, 255112220 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 55112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84022848).

55112220 is an abundant number, since it is smaller than the sum of its proper divisors (112933476).

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

55112220 is a wasteful number, since it uses less digits than its factorization.

55112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 55112220 is about 7423.7605026024. The cubic root of 55112220 is about 380.5537172278.

Adding to 55112220 its reverse (2221155), we get a palindrome (57333375).

The spelling of 55112220 in words is "fifty-five million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 1373 2007 2230 2676 2746 3345 4014 4119 4460 5492 6690 6865 8028 8238 10035 12357 13380 13730 16476 20070 20595 24714 27460 40140 41190 49428 61785 82380 123570 247140 306179 612358 918537 1224716 1530895 1837074 2755611 3061790 3674148 4592685 5511222 6123580 9185370 11022444 13778055 18370740 27556110 55112220