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12284556225 = 352405140433
BaseRepresentation
bin10110111000011011…
…10111001111000001
31011201010120010002220
423130031313033001
5200124321244400
65350552401253
7613265001504
oct133415671701
934633503086
1012284556225
115234347a07
12246a0a6229
13120a0b5ca6
1484773113b
154bd72d7a0
hex2dc3773c1

12284556225 has 24 divisors (see below), whose sum is σ = 20315982432. Its totient is φ = 6549984000.

The previous prime is 12284556211. The next prime is 12284556241. The reversal of 12284556225 is 52265548221.

It is a happy number.

It is not a de Polignac number, because 12284556225 - 215 = 12284523457 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283609 + ... + 324041.

It is an arithmetic number, because the mean of its divisors is an integer number (846499268).

Almost surely, 212284556225 is an apocalyptic number.

12284556225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12284556225 is a deficient number, since it is larger than the sum of its proper divisors (8031426207).

12284556225 is a wasteful number, since it uses less digits than its factorization.

12284556225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44497 (or 44492 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The spelling of 12284556225 in words is "twelve billion, two hundred eighty-four million, five hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 4051 12153 20255 40433 60765 101275 121299 202165 303825 606495 1010825 3032475 163794083 491382249 818970415 2456911245 4094852075 12284556225