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2225336880 = 243513372521
BaseRepresentation
bin1000010010100011…
…1111001000110000
312202002100211022110
42010220333020300
514024141240010
61004452405320
7106101023424
oct20450771060
95662324273
102225336880
11a42165598
12521316840
13296062cb0
14171794b84
15d0574120
hex84a3f230

2225336880 has 240 divisors, whose sum is σ = 7650072864. Its totient is φ = 531947520.

The previous prime is 2225336801. The next prime is 2225336909. The reversal of 2225336880 is 886335222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 4271020 + ... + 4271540.

Almost surely, 22225336880 is an apocalyptic number.

2225336880 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 2225336880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825036432).

2225336880 is an abundant number, since it is smaller than the sum of its proper divisors (5424735984).

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

2225336880 is a wasteful number, since it uses less digits than its factorization.

2225336880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2225336880 is about 47173.4764459860. The cubic root of 2225336880 is about 1305.5652694199.

The spelling of 2225336880 in words is "two billion, two hundred twenty-five million, three hundred thirty-six thousand, eight hundred eighty".