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225414444 = 223234717377
BaseRepresentation
bin11010110111110…
…00110100101100
3120201011020111010
431123320310230
5430201230234
634211225220
75404663653
oct1533706454
9521136433
10225414444
11106271232
12635a8210
1337915038
1421d1a19a
1514bc96e9
hexd6f8d2c

225414444 has 48 divisors (see below), whose sum is σ = 560544768. Its totient is φ = 70338048.

The previous prime is 225414403. The next prime is 225414463. The reversal of 225414444 is 444414522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4284 + ... + 21660.

It is an arithmetic number, because the mean of its divisors is an integer number (11678016).

Almost surely, 2225414444 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 225414444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280272384).

225414444 is an abundant number, since it is smaller than the sum of its proper divisors (335130324).

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

225414444 is a wasteful number, since it uses less digits than its factorization.

225414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17454 (or 17452 counting only the distinct ones).

The product of its digits is 20480, while the sum is 30.

The square root of 225414444 is about 15013.8084442289. The cubic root of 225414444 is about 608.5934122979.

Adding to 225414444 its reverse (444414522), we get a palindrome (669828966).

The spelling of 225414444 in words is "two hundred twenty-five million, four hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 2162 3243 4324 6486 12972 17377 34754 52131 69508 104262 208524 399671 799342 816719 1199013 1598684 1633438 2398026 2450157 3266876 4796052 4900314 9800628 18784537 37569074 56353611 75138148 112707222 225414444