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225022252 = 227132921317
BaseRepresentation
bin11010110100110…
…01000100101100
3120200102022111111
431122121010230
5430101203002
634155001404
75401441360
oct1532310454
9520368444
10225022252
11106023604
1263439264
1337808680
1421c572a0
1514b4d3d7
hexd69912c

225022252 has 48 divisors (see below), whose sum is σ = 501399360. Its totient is φ = 85946112.

The previous prime is 225022241. The next prime is 225022267. The reversal of 225022252 is 252220522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103 + ... + 21214.

It is an arithmetic number, because the mean of its divisors is an integer number (10445820).

Almost surely, 2225022252 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 225022252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250699680).

225022252 is an abundant number, since it is smaller than the sum of its proper divisors (276377108).

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

225022252 is a wasteful number, since it uses less digits than its factorization.

225022252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21370 (or 21368 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 225022252 is about 15000.7417149953. The cubic root of 225022252 is about 608.2402494384.

Adding to 225022252 its reverse (252220522), we get a palindrome (477242774).

The spelling of 225022252 in words is "two hundred twenty-five million, twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1508 2639 5278 10556 21317 42634 85268 149219 277121 298438 554242 596876 618193 1108484 1236386 1939847 2472772 3879694 4327351 7759388 8036509 8654702 16073018 17309404 32146036 56255563 112511126 225022252