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225001134 = 232231015381
BaseRepresentation
bin11010110100100…
…11111010101110
3120200101020112100
431122103322232
5430100014014
634154315530
75401322661
oct1532237256
9520336470
10225001134
11106009756
1263428ba6
13377cbb87
1421c4d6d8
1514b47009
hexd693eae

225001134 has 48 divisors (see below), whose sum is σ = 513830304. Its totient is φ = 71016000.

The previous prime is 225001129. The next prime is 225001163. The reversal of 225001134 is 431100522.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 39124 + ... + 44504.

It is an arithmetic number, because the mean of its divisors is an integer number (10704798).

Almost surely, 2225001134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225001134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256915152).

225001134 is an abundant number, since it is smaller than the sum of its proper divisors (288829170).

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

225001134 is a wasteful number, since it uses less digits than its factorization.

225001134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225001134 is about 15000.0377999524. The cubic root of 225001134 is about 608.2212213656.

Adding to 225001134 its reverse (431100522), we get a palindrome (656101656).

The spelling of 225001134 in words is "two hundred twenty-five million, one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 414 606 909 1818 2323 4646 5381 6969 10762 13938 16143 20907 32286 41814 48429 96858 123763 247526 371289 543481 742578 1086962 1113867 1630443 2227734 3260886 4891329 9782658 12500063 25000126 37500189 75000378 112500567 225001134