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425225000 = 235573233
BaseRepresentation
bin11001010110000…
…110101100101000
31002122010200001002
4121112012230220
51332324200000
6110110014132
713352232014
oct3126065450
91078120032
10425225000
111a9034922
12ba4a7348
136a134035
144068d544
15274e78d5
hex19586b28

425225000 has 96 divisors (see below), whose sum is σ = 1014544440. Its totient is φ = 167040000.

The previous prime is 425224973. The next prime is 425225033. The reversal of 425225000 is 522524.

It can be written as a sum of positive squares in 12 ways, for example, as 249450436 + 175774564 = 15794^2 + 13258^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1824884 + ... + 1825116.

Almost surely, 2425225000 is an apocalyptic number.

425225000 is a gapful number since it is divisible by the number (40) 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 425225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507272220).

425225000 is an abundant number, since it is smaller than the sum of its proper divisors (589319440).

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

425225000 is an equidigital number, since it uses as much as digits as its factorization.

425225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 425225000 is about 20620.9844575859. The cubic root of 425225000 is about 751.9799536304.

Adding to 425225000 its reverse (522524), we get a palindrome (425747524).

The spelling of 425225000 in words is "four hundred twenty-five million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 233 250 292 365 466 500 584 625 730 932 1000 1165 1250 1460 1825 1864 2330 2500 2920 3125 3650 4660 5000 5825 6250 7300 9125 9320 11650 12500 14600 17009 18250 23300 25000 29125 34018 36500 45625 46600 58250 68036 73000 85045 91250 116500 136072 145625 170090 182500 228125 233000 291250 340180 365000 425225 456250 582500 680360 728125 850450 912500 1165000 1456250 1700900 1825000 2126125 2912500 3401800 4252250 5825000 8504500 10630625 17009000 21261250 42522500 53153125 85045000 106306250 212612500 425225000