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225012263580 = 223451314971707
BaseRepresentation
bin1101000110001111000…
…1101010101010011100
3210111210111021022210000
43101203301222222130
512141311114413310
6251211425414300
722154004453156
oct3214361525234
9714714238700
10225012263580
1187477614015
123773819a390
13182ac25a640
14ac67d3bad6
155cbe26a4c0
hex3463c6aa9c

225012263580 has 240 divisors, whose sum is σ = 765282117600. Its totient is φ = 55015137792.

The previous prime is 225012263569. The next prime is 225012263599. The reversal of 225012263580 is 85362210522.

It is a happy number.

225012263580 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 12 + 2 + 63 + 580 = 666.

225012263580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2250122635802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3102087 + ... + 3173793.

It is an arithmetic number, because the mean of its divisors is an integer number (3188675490).

Almost surely, 2225012263580 is an apocalyptic number.

225012263580 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 225012263580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382641058800).

225012263580 is an abundant number, since it is smaller than the sum of its proper divisors (540269854020).

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

225012263580 is a wasteful number, since it uses less digits than its factorization.

225012263580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71890 (or 71879 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 225012263580 in words is "two hundred twenty-five billion, twelve million, two hundred sixty-three thousand, five hundred eighty".