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225563532200 = 23527315449557
BaseRepresentation
bin1101001000010010100…
…0100101101110101000
3210120012220120200011022
43102010220211232220
512143423231012300
6251342241152012
722203450250256
oct3220450455650
9716186520138
10225563532200
118772a808316
123787092b608
13183695233a6
14acbb23b5d6
155d0285e285
hex3484a25ba8

225563532200 has 48 divisors (see below), whose sum is σ = 531619290780. Its totient is φ = 88989442560.

The previous prime is 225563532193. The next prime is 225563532209. The reversal of 225563532200 is 2235365522.

It can be written as a sum of positive squares in 6 ways, for example, as 150989753476 + 74573778724 = 388574^2 + 273082^2 .

It is not an unprimeable number, because it can be changed into a prime (225563532209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7710179 + ... + 7739378.

Almost surely, 2225563532200 is an apocalyptic number.

225563532200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225563532200 is an abundant number, since it is smaller than the sum of its proper divisors (306055758580).

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

225563532200 is a wasteful number, since it uses less digits than its factorization.

225563532200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15449646 (or 15449637 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 225563532200 its reverse (2235365522), we get a palindrome (227798897722).

The spelling of 225563532200 in words is "two hundred twenty-five billion, five hundred sixty-three million, five hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 15449557 30899114 61798228 77247785 123596456 154495570 308991140 386238925 617982280 772477850 1127817661 1544955700 2255635322 3089911400 4511270644 5639088305 9022541288 11278176610 22556353220 28195441525 45112706440 56390883050 112781766100 225563532200