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55022500 = 2254131693
BaseRepresentation
bin1101000111100…
…1001110100100
310211112102200101
43101321032210
5103041210000
65243153444
71235453311
oct321711644
9124472611
1055022500
1129071245
1216515884
13b5264c0
147443d08
154c6ce6a
hex34793a4

55022500 has 60 divisors (see below), whose sum is σ = 129655372. Its totient is φ = 20304000.

The previous prime is 55022491. The next prime is 55022507. The reversal of 55022500 is 522055.

55022500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 51753636 + 3268864 = 7194^2 + 1808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55022507) 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 19 ways as a sum of consecutive naturals, for example, 31654 + ... + 33346.

Almost surely, 255022500 is an apocalyptic number.

55022500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55022500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64827686).

55022500 is an abundant number, since it is smaller than the sum of its proper divisors (74632872).

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

55022500 is a wasteful number, since it uses less digits than its factorization.

55022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 55022500 is about 7417.7152816753. The cubic root of 55022500 is about 380.3470974488.

Adding to 55022500 its reverse (522055), we get a palindrome (55544555).

The spelling of 55022500 in words is "fifty-five million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 1693 2500 3250 3386 6500 6772 8125 8465 16250 16930 22009 32500 33860 42325 44018 84650 88036 110045 169300 211625 220090 423250 440180 550225 846500 1058125 1100450 2116250 2200900 2751125 4232500 5502250 11004500 13755625 27511250 55022500