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40225000 = 23551609
BaseRepresentation
bin1001100101110…
…0100011101000
32210200122022211
42121130203220
540244200000
63554054504
7665623024
oct231344350
983618284
1040225000
1120784702
121157a434
13844509a
1454b1384
1537e87ba
hex265c8e8

40225000 has 48 divisors (see below), whose sum is σ = 94329900. Its totient is φ = 16080000.

The previous prime is 40224959. The next prime is 40225007. The reversal of 40225000 is 52204.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 54756 + 40170244 = 234^2 + 6338^2 .

It is not an unprimeable number, because it can be changed into a prime (40225007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24196 + ... + 25804.

Almost surely, 240225000 is an apocalyptic number.

40225000 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 40225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47164950).

40225000 is an abundant number, since it is smaller than the sum of its proper divisors (54104900).

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

40225000 is an equidigital number, since it uses as much as digits as its factorization.

40225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 40225000 is about 6342.3181881706. The cubic root of 40225000 is about 342.6352317317.

Adding to 40225000 its reverse (52204), we get a palindrome (40277204).

It can be divided in two parts, 40 and 225000, that multiplied together give a square (9000000 = 30002).

The spelling of 40225000 in words is "forty 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 1609 2500 3125 3218 5000 6250 6436 8045 12500 12872 16090 25000 32180 40225 64360 80450 160900 201125 321800 402250 804500 1005625 1609000 2011250 4022500 5028125 8045000 10056250 20112500 40225000