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225130240 = 285199257
BaseRepresentation
bin11010110101100…
…11011100000000
3120200121210122001
431122303130000
5430113131430
634201153344
75402401246
oct1532633400
9520553561
10225130240
11106097755
126348b854
133784587a
1421c84796
1514b703ca
hexd6b3700

225130240 has 72 divisors (see below), whose sum is σ = 567700560. Its totient is φ = 85303296.

The previous prime is 225130231. The next prime is 225130261. The reversal of 225130240 is 42031522.

225130240 is digitally balanced in base 3, 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 (19).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19692 + ... + 28948.

It is an arithmetic number, because the mean of its divisors is an integer number (7884730).

Almost surely, 2225130240 is an apocalyptic number.

225130240 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 225130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283850280).

225130240 is an abundant number, since it is smaller than the sum of its proper divisors (342570320).

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

225130240 is an equidigital number, since it uses as much as digits as its factorization.

225130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297 (or 9283 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 225130240 is about 15004.3407052759. The cubic root of 225130240 is about 608.3375318824.

Adding to 225130240 its reverse (42031522), we get a palindrome (267161762).

The spelling of 225130240 in words is "two hundred twenty-five million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 9257 12160 18514 24320 37028 46285 74056 92570 148112 175883 185140 296224 351766 370280 592448 703532 740560 879415 1184896 1407064 1481120 1758830 2369792 2814128 2962240 3517660 5628256 5924480 7035320 11256512 11848960 14070640 22513024 28141280 45026048 56282560 112565120 225130240