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225560569860 = 223351961734937
BaseRepresentation
bin1101001000010001110…
…1010010100000000100
3210120012201000011121000
43102010131102200010
512143422001213420
6251342053453300
722203413131563
oct3220435224004
9716181004530
10225560569860
11877290746aa
123786b941230
1318368a26c22
14acbaaa9bda
155d02476690
hex3484752804

225560569860 has 384 divisors, whose sum is σ = 761226278400. Its totient is φ = 55270563840.

The previous prime is 225560569837. The next prime is 225560569937. The reversal of 225560569860 is 68965065522.

225560569860 is a `hidden beast` number, since 2 + 2 + 556 + 0 + 5 + 6 + 9 + 86 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 225560569797 and 225560569806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45685312 + ... + 45690248.

It is an arithmetic number, because the mean of its divisors is an integer number (1982360100).

Almost surely, 2225560569860 is an apocalyptic number.

225560569860 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 225560569860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380613139200).

225560569860 is an abundant number, since it is smaller than the sum of its proper divisors (535665708540).

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

225560569860 is a wasteful number, since it uses less digits than its factorization.

225560569860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 225560569860 in words is "two hundred twenty-five billion, five hundred sixty million, five hundred sixty-nine thousand, eight hundred sixty".