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225305700 = 223522332653
BaseRepresentation
bin11010110110111…
…10010001100100
3120200221201022120
431123132101210
5430134240300
634205025540
75404031634
oct1533362144
9520851276
10225305700
111061a7564
12635552b0
13378a76a9
1421ccc6c4
1514ba73a0
hexd6de464

225305700 has 72 divisors (see below), whose sum is σ = 680248128. Its totient is φ = 57467520.

The previous prime is 225305699. The next prime is 225305713. The reversal of 225305700 is 7503522.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9427 + ... + 23226.

Almost surely, 2225305700 is an apocalyptic number.

225305700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225305700 is an abundant number, since it is smaller than the sum of its proper divisors (454942428).

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

225305700 is a wasteful number, since it uses less digits than its factorization.

225305700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32693 (or 32686 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 225305700 is about 15010.1865411460. The cubic root of 225305700 is about 608.4955310708.

The spelling of 225305700 in words is "two hundred twenty-five million, three hundred five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 32653 65306 97959 130612 163265 195918 326530 391836 489795 653060 751019 816325 979590 1502038 1632650 1959180 2253057 2448975 3004076 3265300 3755095 4506114 4897950 7510190 9012228 9795900 11265285 15020380 18775475 22530570 37550950 45061140 56326425 75101900 112652850 225305700