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225501192 = 233371731283
BaseRepresentation
bin11010111000011…
…10000000001000
3120201022122111000
431130032000020
5430212014232
634213135000
75405504610
oct1534160010
9521278430
10225501192
11106320424
126362a460
1337945677
1421d3da40
1514be527c
hexd70e008

225501192 has 256 divisors, whose sum is σ = 785203200. Its totient is φ = 58475520.

The previous prime is 225501181. The next prime is 225501217. The reversal of 225501192 is 291105522.

225501192 is a `hidden beast` number, since 22 + 550 + 1 + 1 + 92 = 666.

225501192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796683 + ... + 796965.

It is an arithmetic number, because the mean of its divisors is an integer number (3067200).

Almost surely, 2225501192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225501192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392601600).

225501192 is an abundant number, since it is smaller than the sum of its proper divisors (559702008).

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

225501192 is a wasteful number, since it uses less digits than its factorization.

225501192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 225501192 is about 15016.6971068874. The cubic root of 225501192 is about 608.6714722030.

The spelling of 225501192 in words is "two hundred twenty-five million, five hundred one thousand, one hundred ninety-two".