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225760542 = 2373163673
BaseRepresentation
bin11010111010011…
…01010100011110
3120201210211020120
431131031110132
5430243314132
634222455410
75410635000
oct1535152436
9521724216
10225760542
11106488267
1263734566
1337a06727
1421daa370
1514c4702c
hexd74d51e

225760542 has 64 divisors (see below), whose sum is σ = 530572800. Its totient is φ = 64012032.

The previous prime is 225760541. The next prime is 225760547. The reversal of 225760542 is 245067522.

225760542 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225760541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335118 + ... + 335790.

It is an arithmetic number, because the mean of its divisors is an integer number (8290200).

Almost surely, 2225760542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225760542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265286400).

225760542 is an abundant number, since it is smaller than the sum of its proper divisors (304812258).

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

225760542 is a wasteful number, since it uses less digits than its factorization.

225760542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 225760542 is about 15025.3300130147. The cubic root of 225760542 is about 608.9047281272.

The spelling of 225760542 in words is "two hundred twenty-five million, seven hundred sixty thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 163 294 326 343 489 673 686 978 1029 1141 1346 2019 2058 2282 3423 4038 4711 6846 7987 9422 14133 15974 23961 28266 32977 47922 55909 65954 98931 109699 111818 167727 197862 219398 230839 329097 335454 461678 658194 692517 767893 1385034 1535786 2303679 4607358 5375251 10750502 16125753 32251506 37626757 75253514 112880271 225760542