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225012670425 = 325237591812531
BaseRepresentation
bin1101000110001111001…
…1001101111111011001
3210111210112000222212100
43101203303031333121
512141311220423200
6251211442234013
722154011066254
oct3214363157731
9714715028770
10225012670425
1187477871754
1237738355909
13182ac37088a
14ac6800609b
155cbe2ead00
hex3463ccdfd9

225012670425 has 144 divisors (see below), whose sum is σ = 423423524160. Its totient is φ = 114105024000.

The previous prime is 225012670423. The next prime is 225012670427. The reversal of 225012670425 is 524076210522.

225012670425 is a `hidden beast` number, since 22 + 501 + 26 + 70 + 42 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (225012670423) and next prime (225012670427).

It is not a de Polignac number, because 225012670425 - 21 = 225012670423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225012670425.

It is not an unprimeable number, because it can be changed into a prime (225012670423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88901410 + ... + 88903940.

It is an arithmetic number, because the mean of its divisors is an integer number (2940441140).

Almost surely, 2225012670425 is an apocalyptic number.

225012670425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225012670425 is a deficient number, since it is larger than the sum of its proper divisors (198410853735).

225012670425 is a wasteful number, since it uses less digits than its factorization.

225012670425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 225012670425 its reverse (524076210522), we get a palindrome (749088880947).

The spelling of 225012670425 in words is "two hundred twenty-five billion, twelve million, six hundred seventy thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 59 75 111 177 181 185 225 295 333 531 543 555 885 905 925 1475 1629 1665 2183 2531 2655 2715 2775 4425 4525 6549 6697 7593 8145 8325 10679 10915 12655 13275 13575 19647 20091 22779 32037 32745 33485 37965 40725 53395 54575 60273 63275 93647 96111 98235 100455 113895 149329 160185 163725 167425 189825 266975 280941 301365 395123 447987 458111 468235 480555 491175 502275 569475 746645 800925 842823 1185369 1343961 1374333 1404705 1506825 1975615 2239935 2290555 2341175 2402775 3556107 3733225 4122999 4214115 5525173 5926845 6719805 6871665 7023525 9878075 11199675 11452775 16575519 16950107 17780535 20614995 21070575 27028549 27625865 29634225 33599025 34358325 49726557 50850321 81085647 82877595 84750535 88902675 103074975 135142745 138129325 152550963 243256941 248632785 254251605 405428235 414387975 423752675 675713725 762754815 1000056313 1216284705 1243163925 1271258025 2027141175 3000168939 3813774075 5000281565 6081423525 9000506817 15000844695 25001407825 45002534085 75004223475 225012670425