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225472992 = 25310972141
BaseRepresentation
bin11010111000001…
…11000111100000
3120201021012210120
431130013013200
5430210113432
634212400240
75405326443
oct1534070740
9521235716
10225472992
11106301218
1263616080
1337935894
1421d3365a
1514bdbc2c
hexd7071e0

225472992 has 48 divisors (see below), whose sum is σ = 592682832. Its totient is φ = 75054080.

The previous prime is 225472991. The next prime is 225473011. The reversal of 225472992 is 299274522.

225472992 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 (48).

It is a super-3 number, since 3×2254729923 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225472991) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 104242 + ... + 106382.

It is an arithmetic number, because the mean of its divisors is an integer number (12347559).

Almost surely, 2225472992 is an apocalyptic number.

It is an amenable number.

225472992 is an abundant number, since it is smaller than the sum of its proper divisors (367209840).

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

225472992 is a wasteful number, since it uses less digits than its factorization.

225472992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3243 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 225472992 is about 15015.7581227189. The cubic root of 225472992 is about 608.6460987214.

The spelling of 225472992 in words is "two hundred twenty-five million, four hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1097 2141 2194 3291 4282 4388 6423 6582 8564 8776 12846 13164 17128 17552 25692 26328 34256 35104 51384 52656 68512 102768 105312 205536 2348677 4697354 7046031 9394708 14092062 18789416 28184124 37578832 56368248 75157664 112736496 225472992