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2225897910 = 23252347137167
BaseRepresentation
bin1000010010101100…
…1000000110110110
312202010102022220100
42010223020012312
514024312213120
61004512414530
7106105551165
oct20453100666
95663368810
102225897910
11a42509055
12521547446
132961cb472
1417189d3dc
15d0635490
hex84ac81b6

2225897910 has 192 divisors, whose sum is σ = 6249664512. Its totient is φ = 548325888.

The previous prime is 2225897903. The next prime is 2225897923. The reversal of 2225897910 is 197985222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13328647 + ... + 13328813.

It is an arithmetic number, because the mean of its divisors is an integer number (32550336).

Almost surely, 22225897910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225897910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124832256).

2225897910 is an abundant number, since it is smaller than the sum of its proper divisors (4023766602).

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

2225897910 is a wasteful number, since it uses less digits than its factorization.

2225897910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2225897910 is about 47179.4225271993. The cubic root of 2225897910 is about 1305.6749756168.

The spelling of 2225897910 in words is "two billion, two hundred twenty-five million, eight hundred ninety-seven thousand, nine hundred ten".