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225521219 = 71111325919
BaseRepresentation
bin11010111000100…
…10111001000011
3120201100122221202
431130102321003
5430213134334
634213411415
75405620160
oct1534227103
9521318852
10225521219
11106334480
1263639b6b
1337951811
1421d47067
1514beb17e
hexd712e43

225521219 has 16 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 174168960.

The previous prime is 225521207. The next prime is 225521227. The reversal of 225521219 is 912125522.

225521219 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-225521219 is a prime.

It is a super-2 number, since 2×2255212192 = 101719640438491922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225521191 and 225521200.

It is not an unprimeable number, because it can be changed into a prime (225521239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4259 + ... + 21660.

It is an arithmetic number, because the mean of its divisors is an integer number (17729280).

Almost surely, 2225521219 is an apocalyptic number.

225521219 is a deficient number, since it is larger than the sum of its proper divisors (58147261).

225521219 is a wasteful number, since it uses less digits than its factorization.

225521219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26050.

The product of its digits is 3600, while the sum is 29.

The square root of 225521219 is about 15017.3639164801. The cubic root of 225521219 is about 608.6894905893.

The spelling of 225521219 in words is "two hundred twenty-five million, five hundred twenty-one thousand, two hundred nineteen".

Divisors: 1 7 11 77 113 791 1243 8701 25919 181433 285109 1995763 2928847 20501929 32217317 225521219