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225254406 = 231310912647
BaseRepresentation
bin11010110110100…
…01110000000110
3120200212002221210
431123101300012
5430131120111
634203552250
75403426246
oct1533216006
9520762853
10225254406
11106171a73
126352b686
133788a240
1421cb7b26
1514b970a6
hexd6d1c06

225254406 has 32 divisors (see below), whose sum is σ = 485791488. Its totient is φ = 69219360.

The previous prime is 225254333. The next prime is 225254411. The reversal of 225254406 is 604452522.

It is a happy number.

It is a super-3 number, since 3×2252544063 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83775 + ... + 86421.

It is an arithmetic number, because the mean of its divisors is an integer number (15180984).

Almost surely, 2225254406 is an apocalyptic number.

225254406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

225254406 is an abundant number, since it is smaller than the sum of its proper divisors (260537082).

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

225254406 is a wasteful number, since it uses less digits than its factorization.

225254406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756.

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 225254406 is about 15008.4778042278. The cubic root of 225254406 is about 608.4493500543.

The spelling of 225254406 in words is "two hundred twenty-five million, two hundred fifty-four thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 78 1091 2182 2647 3273 5294 6546 7941 14183 15882 28366 34411 42549 68822 85098 103233 206466 2887877 5775754 8663631 17327262 37542401 75084802 112627203 225254406