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225861552 = 24327224069
BaseRepresentation
bin11010111011001…
…01111110110000
3120201222221210200
431131211332300
5430310032202
634224555200
75411535330
oct1535457660
9521887720
10225861552
11106547144
1263782b00
1337a406b7
1421dd50c0
1514c66e1c
hexd765fb0

225861552 has 60 divisors (see below), whose sum is σ = 722401680. Its totient is φ = 64531584.

The previous prime is 225861551. The next prime is 225861557. The reversal of 225861552 is 255168522.

It is a happy number.

225861552 is a `hidden beast` number, since 2 + 25 + 86 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225861551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111027 + ... + 113042.

It is an arithmetic number, because the mean of its divisors is an integer number (12040028).

Almost surely, 2225861552 is an apocalyptic number.

It is an amenable number.

225861552 is an abundant number, since it is smaller than the sum of its proper divisors (496540128).

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

225861552 is a wasteful number, since it uses less digits than its factorization.

225861552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224090 (or 224081 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 225861552 is about 15028.6909609586. The cubic root of 225861552 is about 608.9955268343.

The spelling of 225861552 in words is "two hundred twenty-five million, eight hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 224069 448138 672207 896276 1344414 1568483 1792552 2016621 2688828 3136966 3585104 4033242 4705449 5377656 6273932 8066484 9410898 10755312 12547864 14116347 16132968 18821796 25095728 28232694 32265936 37643592 56465388 75287184 112930776 225861552