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225240000 = 263541877
BaseRepresentation
bin11010110110011…
…10001111000000
3120200211101012020
431123032033000
5430130140000
634203401440
75403336246
oct1533161700
9520741166
10225240000
11106162167
1263523280
133788380b
1421cb2796
1514b92ba0
hexd6ce3c0

225240000 has 140 divisors (see below), whose sum is σ = 745092744. Its totient is φ = 60032000.

The previous prime is 225239969. The next prime is 225240007. The reversal of 225240000 is 42522.

225240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119062 + ... + 120938.

Almost surely, 2225240000 is an apocalyptic number.

225240000 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 225240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372546372).

225240000 is an abundant number, since it is smaller than the sum of its proper divisors (519852744).

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

225240000 is an equidigital number, since it uses as much as digits as its factorization.

225240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 225240000 is about 15007.9978678037. The cubic root of 225240000 is about 608.4363787828.

Adding to 225240000 its reverse (42522), we get a palindrome (225282522).

The spelling of 225240000 in words is "two hundred twenty-five million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 1877 2000 2400 2500 3000 3750 3754 4000 4800 5000 5631 6000 7500 7508 8000 9385 10000 11262 12000 15000 15016 18770 20000 22524 24000 28155 30000 30032 37540 40000 45048 46925 56310 60000 60064 75080 90096 93850 112620 120000 120128 140775 150160 180192 187700 225240 234625 281550 300320 360384 375400 450480 469250 563100 600640 703875 750800 900960 938500 1126200 1173125 1407750 1501600 1801920 1877000 2252400 2346250 2815500 3003200 3519375 3754000 4504800 4692500 5631000 7038750 7508000 9009600 9385000 11262000 14077500 15016000 18770000 22524000 28155000 37540000 45048000 56310000 75080000 112620000 225240000