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225434052 = 2232291811193
BaseRepresentation
bin11010110111111…
…01100111000100
3120201012020101100
431123331213010
5430202342202
634211500100
75405105064
oct1533754704
9521166340
10225434052
11106284a38
12635b7630
1337920c3c
1421d233a4
1514bd041c
hexd6fd9c4

225434052 has 72 divisors (see below), whose sum is σ = 593250840. Its totient is φ = 72092160.

The previous prime is 225434021. The next prime is 225434087. The reversal of 225434052 is 250434522.

It is a happy number.

225434052 is a `hidden beast` number, since 2 + 254 + 3 + 405 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1153476 + 224280576 = 1074^2 + 14976^2 .

It is a super-2 number, since 2×2254340522 = 101641023602277408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 188368 + ... + 189560.

It is an arithmetic number, because the mean of its divisors is an integer number (8239595).

Almost surely, 2225434052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225434052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296625420).

225434052 is an abundant number, since it is smaller than the sum of its proper divisors (367816788).

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

225434052 is a wasteful number, since it uses less digits than its factorization.

225434052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 225434052 is about 15014.4614289025. The cubic root of 225434052 is about 608.6110582443.

Adding to 225434052 its reverse (250434522), we get a palindrome (475868574).

The spelling of 225434052 in words is "two hundred twenty-five million, four hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 181 261 348 362 522 543 724 1044 1086 1193 1629 2172 2386 3258 3579 4772 5249 6516 7158 10498 10737 14316 15747 20996 21474 31494 34597 42948 47241 62988 69194 94482 103791 138388 188964 207582 215933 311373 415164 431866 622746 647799 863732 1245492 1295598 1943397 2591196 3886794 6262057 7773588 12524114 18786171 25048228 37572342 56358513 75144684 112717026 225434052