Search a number
-
+
225536376 = 233134316811
BaseRepresentation
bin11010111000101…
…10100101111000
3120201101102202010
431130112211320
5430214131001
634214005520
75406012312
oct1534264570
9521342663
10225536376
111063448aa
12636468a0
13379586a0
1421d4c7b2
1514c008d6
hexd716978

225536376 has 64 divisors (see below), whose sum is σ = 621371520. Its totient is φ = 67777920.

The previous prime is 225536371. The next prime is 225536401. The reversal of 225536376 is 673635522.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225536371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5011 + ... + 21821.

It is an arithmetic number, because the mean of its divisors is an integer number (9708930).

Almost surely, 2225536376 is an apocalyptic number.

225536376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225536376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310685760).

225536376 is an abundant number, since it is smaller than the sum of its proper divisors (395835144).

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

225536376 is a wasteful number, since it uses less digits than its factorization.

225536376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16876 (or 16872 counting only the distinct ones).

The product of its digits is 226800, while the sum is 39.

The square root of 225536376 is about 15017.8685571555. The cubic root of 225536376 is about 608.7031267044.

The spelling of 225536376 in words is "two hundred twenty-five million, five hundred thirty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 13416 16811 33622 50433 67244 100866 134488 201732 218543 403464 437086 655629 722873 874172 1311258 1445746 1748344 2168619 2622516 2891492 4337238 5245032 5782984 8674476 9397349 17348952 18794698 28192047 37589396 56384094 75178792 112768188 225536376