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225360016 = 2472287449
BaseRepresentation
bin11010110111010…
…11100010010000
3120201001110211021
431123223202100
5430143010031
634210125224
75404346200
oct1533534220
9521043737
10225360016
11106234352
1263580814
13378c632b
1421d04400
1514bb8511
hexd6eb890

225360016 has 30 divisors (see below), whose sum is σ = 507924150. Its totient is φ = 96582528.

The previous prime is 225360013. The next prime is 225360017. The reversal of 225360016 is 610063522.

225360016 is digitally balanced in base 2, 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 only one way, i.e., 125440000 + 99920016 = 11200^2 + 9996^2 .

It is not an unprimeable number, because it can be changed into a prime (225360011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142941 + ... + 144508.

It is an arithmetic number, because the mean of its divisors is an integer number (16930805).

Almost surely, 2225360016 is an apocalyptic number.

It is an amenable number.

225360016 is an abundant number, since it is smaller than the sum of its proper divisors (282564134).

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

225360016 is a wasteful number, since it uses less digits than its factorization.

225360016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287471 (or 287458 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 225360016 is about 15011.9957367433. The cubic root of 225360016 is about 608.5444252142.

The spelling of 225360016 in words is "two hundred twenty-five million, three hundred sixty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 287449 574898 1149796 2012143 2299592 4024286 4599184 8048572 14085001 16097144 28170002 32194288 56340004 112680008 225360016