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225514112 = 2717372801
BaseRepresentation
bin11010111000100…
…01001010000000
3120201100022012112
431130101022000
5430212422422
634213314452
75405560355
oct1534211200
9521308175
10225514112
1110632a0aa
1263635a28
133794b505
1421d4462c
1514be8ee2
hexd711280

225514112 has 64 divisors (see below), whose sum is σ = 488724840. Its totient is φ = 103219200.

The previous prime is 225514109. The next prime is 225514141. The reversal of 225514112 is 211415522.

225514112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 225480256 + 33856 = 15016^2 + 184^2 .

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

It is a super-2 number, since 2×2255141122 = 101713229422297088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79112 + ... + 81912.

Almost surely, 2225514112 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 225514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244362420).

225514112 is an abundant number, since it is smaller than the sum of its proper divisors (263210728).

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

225514112 is a wasteful number, since it uses less digits than its factorization.

225514112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2857 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 225514112 is about 15017.1272885329. The cubic root of 225514112 is about 608.6830965100.

Adding to 225514112 its reverse (211415522), we get a palindrome (436929634).

The spelling of 225514112 in words is "two hundred twenty-five million, five hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 272 296 544 592 629 1088 1184 1258 2176 2368 2516 2801 4736 5032 5602 10064 11204 20128 22408 40256 44816 47617 80512 89632 95234 103637 179264 190468 207274 358528 380936 414548 761872 829096 1523744 1658192 1761829 3047488 3316384 3523658 6094976 6632768 7047316 13265536 14094632 28189264 56378528 112757056 225514112