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225540126 = 2347593371
BaseRepresentation
bin11010111000101…
…11100000011110
3120201101121220000
431130113200132
5430214241001
634214035130
75406026250
oct1534274036
9521347800
10225540126
111063476a9
1263648aa6
133795a2c6
1421d4dcd0
1514c01a86
hexd71781e

225540126 has 80 divisors (see below), whose sum is σ = 587537280. Its totient is φ = 63329040.

The previous prime is 225540113. The next prime is 225540137. The reversal of 225540126 is 621045522.

225540126 is a `hidden beast` number, since 2 + 255 + 401 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 225540126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65221 + ... + 68591.

It is an arithmetic number, because the mean of its divisors is an integer number (7344216).

Almost surely, 2225540126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225540126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293768640).

225540126 is an abundant number, since it is smaller than the sum of its proper divisors (361997154).

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

225540126 is a wasteful number, since it uses less digits than its factorization.

225540126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 225540126 is about 15017.9934079091. The cubic root of 225540126 is about 608.7065003274.

Adding to 225540126 its reverse (621045522), we get a palindrome (846585648).

The spelling of 225540126 in words is "two hundred twenty-five million, five hundred forty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 81 118 126 162 177 189 354 378 413 531 567 826 1062 1134 1239 1593 2478 3186 3371 3717 4779 6742 7434 9558 10113 11151 20226 22302 23597 30339 33453 47194 60678 66906 70791 91017 141582 182034 198889 212373 273051 397778 424746 546102 596667 637119 1193334 1274238 1392223 1790001 1911357 2784446 3580002 3822714 4176669 5370003 8353338 10740006 12530007 16110009 25060014 32220018 37590021 75180042 112770063 225540126