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225343500 = 22353178837
BaseRepresentation
bin11010110111001…
…11100000001100
3120201000122011120
431123213200030
5430141443000
634205520540
75404250064
oct1533474014
9521018146
10225343500
111062229a8
1263573150
13378bb965
1421cdc3a4
1514bb36a0
hexd6e780c

225343500 has 96 divisors (see below), whose sum is σ = 694878912. Its totient is φ = 56550400.

The previous prime is 225343487. The next prime is 225343523. The reversal of 225343500 is 5343522.

225343500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21082 + ... + 29918.

It is an arithmetic number, because the mean of its divisors is an integer number (7238322).

Almost surely, 2225343500 is an apocalyptic number.

225343500 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 225343500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347439456).

225343500 is an abundant number, since it is smaller than the sum of its proper divisors (469535412).

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

225343500 is a wasteful number, since it uses less digits than its factorization.

225343500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 225343500 is about 15011.4456332493. The cubic root of 225343500 is about 608.5295586828.

It can be divided in two parts, 2253 and 43500, that added together give a triangular number (45753 = T302).

The spelling of 225343500 in words is "two hundred twenty-five million, three hundred forty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 125 150 170 204 250 255 300 340 375 425 500 510 750 850 1020 1275 1500 1700 2125 2550 4250 5100 6375 8500 8837 12750 17674 25500 26511 35348 44185 53022 88370 106044 132555 150229 176740 220925 265110 300458 441850 450687 530220 600916 662775 751145 883700 901374 1104625 1325550 1502290 1802748 2209250 2253435 2651100 3004580 3313875 3755725 4418500 4506870 6627750 7511450 9013740 11267175 13255500 15022900 18778625 22534350 37557250 45068700 56335875 75114500 112671750 225343500