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225326607 = 31123292353
BaseRepresentation
bin11010110111000…
…11011000001111
3120200222202222220
431123203120033
5430140422412
634205310423
75404146612
oct1533433017
9520882886
10225326607
11106211240
1263565413
13378b406c
1421cd6179
1514bad68c
hexd6e360f

225326607 has 48 divisors (see below), whose sum is σ = 355200768. Its totient is φ = 125762560.

The previous prime is 225326599. The next prime is 225326627. The reversal of 225326607 is 706623522.

It is a happy number.

It is not a de Polignac number, because 225326607 - 23 = 225326599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225326627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638143 + ... + 638495.

It is an arithmetic number, because the mean of its divisors is an integer number (7400016).

Almost surely, 2225326607 is an apocalyptic number.

225326607 is a deficient number, since it is larger than the sum of its proper divisors (129874161).

225326607 is a wasteful number, since it uses less digits than its factorization.

225326607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 225326607 is about 15010.8829520452. The cubic root of 225326607 is about 608.5143520513.

The spelling of 225326607 in words is "two hundred twenty-five million, three hundred twenty-six thousand, six hundred seven".

Divisors: 1 3 11 23 29 33 69 87 253 319 353 667 759 841 957 1059 2001 2523 3883 7337 8119 9251 10237 11649 19343 22011 24357 27753 30711 58029 89309 112607 212773 235451 267927 296873 337821 638319 706353 890619 2589961 3265603 6828079 7769883 9796809 20484237 75108869 225326607