Search a number
-
+
225002112 = 273797417
BaseRepresentation
bin11010110100101…
…00001010000000
3120200101021212120
431122110022000
5430100031422
634154324240
75401325556
oct1532241200
9520337776
10225002112
1110600a465
1263429680
13377cc45a
1421c4dbd6
1514b4745c
hexd694280

225002112 has 64 divisors (see below), whose sum is σ = 605308800. Its totient is φ = 74041344.

The previous prime is 225002111. The next prime is 225002117. The reversal of 225002112 is 211200522.

225002112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 225002091 and 225002100.

It is not an unprimeable number, because it can be changed into a prime (225002111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26628 + ... + 34044.

It is an arithmetic number, because the mean of its divisors is an integer number (9457950).

Almost surely, 2225002112 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 225002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302654400).

225002112 is an abundant number, since it is smaller than the sum of its proper divisors (380306688).

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

225002112 is an equidigital number, since it uses as much as digits as its factorization.

225002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7513 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 225002112 is about 15000.0703998348. The cubic root of 225002112 is about 608.2221026048. Note that the first 3 decimals are identical.

Adding to 225002112 its reverse (211200522), we get a palindrome (436202634).

The spelling of 225002112 in words is "two hundred twenty-five million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7417 7584 10112 14834 15168 22251 29668 30336 44502 59336 89004 118672 178008 237344 356016 474688 585943 712032 949376 1171886 1424064 1757829 2343772 2848128 3515658 4687544 7031316 9375088 14062632 18750176 28125264 37500352 56250528 75000704 112501056 225002112