Search a number
-
+
225732696 = 23376122027
BaseRepresentation
bin11010111010001…
…10100001011000
3120201202102001020
431131012201120
5430241421241
634222122440
75410460550
oct1535064130
9521672036
10225732696
11106469352
1263720420
13379c6b57
1421da0160
1514c3db66
hexd746858

225732696 has 64 divisors (see below), whose sum is σ = 655553280. Its totient is φ = 63434880.

The previous prime is 225732691. The next prime is 225732697. The reversal of 225732696 is 696237522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225732691) 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 15 ways as a sum of consecutive naturals, for example, 766 + ... + 21261.

It is an arithmetic number, because the mean of its divisors is an integer number (10243020).

Almost surely, 2225732696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225732696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327776640).

225732696 is an abundant number, since it is smaller than the sum of its proper divisors (429820584).

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

225732696 is a wasteful number, since it uses less digits than its factorization.

225732696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22104 (or 22100 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 225732696 is about 15024.4033492182. The cubic root of 225732696 is about 608.8796923702.

The spelling of 225732696 in words is "two hundred twenty-five million, seven hundred thirty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 22027 44054 66081 88108 132162 154189 176216 264324 308378 462567 528648 616756 925134 1233512 1343647 1850268 2687294 3700536 4030941 5374588 8061882 9405529 10749176 16123764 18811058 28216587 32247528 37622116 56433174 75244232 112866348 225732696