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908225136 = 243571317151
BaseRepresentation
bin110110001000100…
…110101001110000
32100021222121200000
4312020212221300
53330001201021
6230042230000
731335533460
oct6610465160
92307877600
10908225136
1142673aa95
122141b5300
13116216430
148889bba0
1554b03b26
hex36226a70

908225136 has 480 divisors, whose sum is σ = 3457778688. Its totient is φ = 223948800.

The previous prime is 908225117. The next prime is 908225189. The reversal of 908225136 is 631522809.

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

It is a self number, because there is not a number n which added to its sum of digits gives 908225136.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6014661 + ... + 6014811.

Almost surely, 2908225136 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 908225136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728889344).

908225136 is an abundant number, since it is smaller than the sum of its proper divisors (2549553552).

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

908225136 is a wasteful number, since it uses less digits than its factorization.

908225136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 908225136 is about 30136.7738153904. The cubic root of 908225136 is about 968.4216852291.

The spelling of 908225136 in words is "nine hundred eight million, two hundred twenty-five thousand, one hundred thirty-six".