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225704512 = 26111718859
BaseRepresentation
bin11010111001111…
…11101001000000
3120201200222101101
431130333221000
5430240021022
634221344144
75410312435
oct1534775100
9521628341
10225704512
1110644a160
1263708054
13379b7087
1421d93b8c
1514c35627
hexd73fa40

225704512 has 56 divisors (see below), whose sum is σ = 517367520. Its totient is φ = 96552960.

The previous prime is 225704503. The next prime is 225704519. The reversal of 225704512 is 215407522.

225704512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225704519) 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, 2539 + ... + 21397.

Almost surely, 2225704512 is an apocalyptic number.

225704512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258683760).

225704512 is an abundant number, since it is smaller than the sum of its proper divisors (291663008).

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

225704512 is a wasteful number, since it uses less digits than its factorization.

225704512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18899 (or 18889 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 225704512 is about 15023.4653791993. The cubic root of 225704512 is about 608.8543506278.

The spelling of 225704512 in words is "two hundred twenty-five million, seven hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 18859 37718 75436 150872 207449 301744 320603 414898 603488 641206 829796 1206976 1282412 1659592 2564824 3319184 3526633 5129648 6638368 7053266 10259296 13276736 14106532 20518592 28213064 56426128 112852256 225704512