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2250455625 = 32541137983
BaseRepresentation
bin1000011000100011…
…0011101001001001
312210211121222202100
42012020303221021
514102104040000
61011151024013
7106524362055
oct20610635111
95724558670
102250455625
11a55361690
1252980b009
1329b319262
14174c52c65
15d2886a00
hex86233a49

2250455625 has 120 divisors (see below), whose sum is σ = 4555691712. Its totient is φ = 1060560000.

The previous prime is 2250455617. The next prime is 2250455629. The reversal of 2250455625 is 5265540522.

2250455625 is a `hidden beast` number, since 2 + 2 + 50 + 45 + 562 + 5 = 666.

It is not a de Polignac number, because 2250455625 - 23 = 2250455617 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2250455625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250455629) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 2288884 + ... + 2289866.

Almost surely, 22250455625 is an apocalyptic number.

2250455625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2250455625 is an abundant number, since it is smaller than the sum of its proper divisors (2305236087).

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

2250455625 is a wasteful number, since it uses less digits than its factorization.

2250455625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 2250455625 is about 47438.9673686095. The cubic root of 2250455625 is about 1310.4591411568.

The spelling of 2250455625 in words is "two billion, two hundred fifty million, four hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 37 45 55 75 99 111 125 165 185 225 275 333 375 407 495 555 625 825 925 983 1125 1221 1375 1665 1875 2035 2475 2775 2949 3663 4125 4625 4915 5625 6105 6875 8325 8847 10175 10813 12375 13875 14745 18315 20625 23125 24575 30525 32439 36371 41625 44235 50875 54065 61875 69375 73725 91575 97317 109113 122875 152625 162195 181855 208125 221175 254375 270325 327339 368625 400081 457875 486585 545565 614375 763125 810975 909275 1105875 1200243 1351625 1636695 1843125 2000405 2289375 2432925 2727825 3600729 4054875 4546375 5529375 6001215 6758125 8183475 10002025 12164625 13639125 18003645 20274375 22731875 30006075 40917375 50010125 60823125 68195625 90018225 150030375 204586875 250050625 450091125 750151875 2250455625