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225726430050 = 2365211562979
BaseRepresentation
bin1101001000111001010…
…1111111101101100010
3210120122021002202000000
43102032111333231202
512144241431230200
6251410340440430
722210465666152
oct3221625775542
9716567082000
10225726430050
1187803759940
12378b73a9116
13183941b9b54
14acd4b22762
155d11cda300
hex348e57fb62

225726430050 has 168 divisors, whose sum is σ = 686716248240. Its totient is φ = 54721461600.

The previous prime is 225726430009. The next prime is 225726430063. The reversal of 225726430050 is 50034627522.

225726430050 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 2 + 643 + 0 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225726429987 and 225726430014.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 119461 + ... + 682439.

Almost surely, 2225726430050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225726430050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343358124120).

225726430050 is an abundant number, since it is smaller than the sum of its proper divisors (460989818190).

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

225726430050 is a wasteful number, since it uses less digits than its factorization.

225726430050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563020 (or 563000 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 225726430050 in words is "two hundred twenty-five billion, seven hundred twenty-six million, four hundred thirty thousand, fifty".