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553225000 = 235522129
BaseRepresentation
bin100000111110011…
…000101100101000
31102112222202000211
4200332120230220
52113111200000
6130521310504
716465222606
oct4076305450
91375882024
10553225000
11264310149
12135335434
138a7cc393
145368c876
153387d7ba
hex20f98b28

553225000 has 48 divisors (see below), whose sum is σ = 1296596700. Its totient is φ = 221280000.

The previous prime is 553224961. The next prime is 553225009. The reversal of 553225000 is 522355.

It can be written as a sum of positive squares in 6 ways, for example, as 2196324 + 551028676 = 1482^2 + 23474^2 .

It is not an unprimeable number, because it can be changed into a prime (553225009) 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 11 ways as a sum of consecutive naturals, for example, 13936 + ... + 36064.

Almost surely, 2553225000 is an apocalyptic number.

553225000 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 553225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648298350).

553225000 is an abundant number, since it is smaller than the sum of its proper divisors (743371700).

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

553225000 is an equidigital number, since it uses as much as digits as its factorization.

553225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22160 (or 22136 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 553225000 is about 23520.7355327167. The cubic root of 553225000 is about 820.9195514121.

Adding to 553225000 its reverse (522355), we get a palindrome (553747355).

The spelling of 553225000 in words is "five hundred fifty-three million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 22129 25000 44258 88516 110645 177032 221290 442580 553225 885160 1106450 2212900 2766125 4425800 5532250 11064500 13830625 22129000 27661250 55322500 69153125 110645000 138306250 276612500 553225000