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225788430 = 23573729059
BaseRepresentation
bin11010111010101…
…00001000001110
3120201212020111110
431131110020032
5430300212210
634223232450
75411112210
oct1535241016
9521766443
10225788430
111064a720a
1263748726
1337a1632a
1421db65b0
1514c50420
hexd75420e

225788430 has 64 divisors (see below), whose sum is σ = 636065280. Its totient is φ = 50212224.

The previous prime is 225788413. The next prime is 225788443. The reversal of 225788430 is 34887522.

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 31 ways as a sum of consecutive naturals, for example, 6760 + ... + 22299.

It is an arithmetic number, because the mean of its divisors is an integer number (9938520).

Almost surely, 2225788430 is an apocalyptic number.

225788430 is an abundant number, since it is smaller than the sum of its proper divisors (410276850).

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

225788430 is a wasteful number, since it uses less digits than its factorization.

225788430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29113.

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 225788430 is about 15026.2580172177. The cubic root of 225788430 is about 608.9297995824.

The spelling of 225788430 in words is "two hundred twenty-five million, seven hundred eighty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3885 7770 29059 58118 87177 145295 174354 203413 290590 406826 435885 610239 871770 1017065 1075183 1220478 2034130 2150366 3051195 3225549 5375915 6102390 6451098 7526281 10751830 15052562 16127745 22578843 32255490 37631405 45157686 75262810 112894215 225788430