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225225605364 = 22318768800447
BaseRepresentation
bin1101000111000001111…
…1100000000011110100
3210112100100201012200120
43101300133200003310
512142230223332424
6251244530211540
722162205025654
oct3216037400364
9715310635616
10225225605364
1187576a89941
1237797723bb0
1318314506596
14ac883d4364
155cd2d5ca79
hex34707e00f4

225225605364 has 12 divisors (see below), whose sum is σ = 525526412544. Its totient is φ = 75075201784.

The previous prime is 225225605347. The next prime is 225225605383. The reversal of 225225605364 is 463506522522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-4 number, since 4×2252256053644 (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9384400212 + ... + 9384400235.

It is an arithmetic number, because the mean of its divisors is an integer number (43793867712).

Almost surely, 2225225605364 is an apocalyptic number.

It is an amenable number.

225225605364 is an abundant number, since it is smaller than the sum of its proper divisors (300300807180).

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

225225605364 is a wasteful number, since it uses less digits than its factorization.

225225605364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18768800454 (or 18768800452 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 225225605364 in words is "two hundred twenty-five billion, two hundred twenty-five million, six hundred five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 18768800447 37537600894 56306401341 75075201788 112612802682 225225605364