Search a number
-
+
225332352 = 2732727943
BaseRepresentation
bin11010110111001…
…00110010000000
3120201000001212200
431123210302000
5430141113402
634205353200
75404202430
oct1533446200
9521001780
10225332352
11106215593
1263568800
13378b686b
1421cd82c0
1514bb021c
hexd6e4c80

225332352 has 96 divisors (see below), whose sum is σ = 741074880. Its totient is φ = 64378368.

The previous prime is 225332347. The next prime is 225332363. The reversal of 225332352 is 253233522.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5908 + ... + 22035.

It is an arithmetic number, because the mean of its divisors is an integer number (7719530).

Almost surely, 2225332352 is an apocalyptic number.

It is an amenable number.

225332352 is an abundant number, since it is smaller than the sum of its proper divisors (515742528).

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

225332352 is a wasteful number, since it uses less digits than its factorization.

225332352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27970 (or 27955 counting only the distinct ones).

The product of its digits is 10800, while the sum is 27.

The square root of 225332352 is about 15011.0743119871. The cubic root of 225332352 is about 608.5195236335.

Adding to 225332352 its reverse (253233522), we get a palindrome (478565874).

The spelling of 225332352 in words is "two hundred twenty-five million, three hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 27943 55886 83829 111772 167658 195601 223544 251487 335316 391202 447088 502974 586803 670632 782404 894176 1005948 1173606 1341264 1564808 1760409 1788352 2011896 2347212 2682528 3129616 3520818 3576704 4023792 4694424 5365056 6259232 7041636 8047584 9388848 10730112 12518464 14083272 16095168 18777696 25036928 28166544 32190336 37555392 56333088 75110784 112666176 225332352