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220250000 = 2456881
BaseRepresentation
bin11010010000010…
…11111110010000
3120100102212012102
431020023332100
5422341000000
633504415532
75313044165
oct1510137620
9510385172
10220250000
111033640a3
12619175a8
1336827459
142137406c
15145093d5
hexd20bf90

220250000 has 70 divisors (see below), whose sum is σ = 534016602. Its totient is φ = 88000000.

The previous prime is 220249963. The next prime is 220250003. The reversal of 220250000 is 52022.

220250000 is digitally balanced in base 3, 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 7 ways, for example, as 210714256 + 9535744 = 14516^2 + 3088^2 .

It is a sliding number, since 220250000 = 64000000 + 156250000 and 1/64000000 + 1/156250000 = 0.0000000220250000.

It is not an unprimeable number, because it can be changed into a prime (220250003) 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 13 ways as a sum of consecutive naturals, for example, 249560 + ... + 250440.

Almost surely, 2220250000 is an apocalyptic number.

220250000 is a gapful number since it is divisible by the number (20) 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 220250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267008301).

220250000 is an abundant number, since it is smaller than the sum of its proper divisors (313766602).

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

220250000 is an frugal number, since it uses more digits than its factorization.

220250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 220250000 is about 14840.8220796558. The cubic root of 220250000 is about 603.9096541915.

The spelling of 220250000 in words is "two hundred twenty million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 881 1000 1250 1762 2000 2500 3125 3524 4405 5000 6250 7048 8810 10000 12500 14096 15625 17620 22025 25000 31250 35240 44050 50000 62500 70480 88100 110125 125000 176200 220250 250000 352400 440500 550625 881000 1101250 1762000 2202500 2753125 4405000 5506250 8810000 11012500 13765625 22025000 27531250 44050000 55062500 110125000 220250000