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225622500 = 2235467449
BaseRepresentation
bin11010111001010…
…11100111100100
3120201112210212220
431130223213210
5430224410000
634215512340
75406521355
oct1534534744
9521483786
10225622500
111063a3584
12636886b0
133798894c
1421d71d2c
1514c1b1a0
hexd72b9e4

225622500 has 120 divisors (see below), whose sum is σ = 669160800. Its totient is φ = 59136000.

The previous prime is 225622493. The next prime is 225622517. The reversal of 225622500 is 5226522.

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, 502276 + ... + 502724.

It is an arithmetic number, because the mean of its divisors is an integer number (5576340).

Almost surely, 2225622500 is an apocalyptic number.

225622500 is a gapful number since it is divisible by the number (20) 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 225622500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334580400).

225622500 is an abundant number, since it is smaller than the sum of its proper divisors (443538300).

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

225622500 is a wasteful number, since it uses less digits than its factorization.

225622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 225622500 is about 15020.7356677361. The cubic root of 225622500 is about 608.7805972475.

The spelling of 225622500 in words is "two hundred twenty-five million, six hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 125 134 150 201 250 268 300 335 375 402 449 500 625 670 750 804 898 1005 1250 1340 1347 1500 1675 1796 1875 2010 2245 2500 2694 3350 3750 4020 4490 5025 5388 6700 6735 7500 8375 8980 10050 11225 13470 16750 20100 22450 25125 26940 30083 33500 33675 41875 44900 50250 56125 60166 67350 83750 90249 100500 112250 120332 125625 134700 150415 167500 168375 180498 224500 251250 280625 300830 336750 360996 451245 502500 561250 601660 673500 752075 841875 902490 1122500 1504150 1683750 1804980 2256225 3008300 3367500 3760375 4512450 7520750 9024900 11281125 15041500 18801875 22562250 37603750 45124500 56405625 75207500 112811250 225622500